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3673701675 = 335275631381
BaseRepresentation
bin1101101011111000…
…0011110100101011
3100111000201101022000
43122332003310223
530010431423200
61404312102043
7160015643340
oct33276036453
910430641260
103673701675
111615788496
12866394923
13467146797
1426bc967c7
151677be300
hexdaf83d2b

3673701675 has 96 divisors (see below), whose sum is σ = 7732124160. Its totient is φ = 1675209600.

The previous prime is 3673701673. The next prime is 3673701679. The reversal of 3673701675 is 5761073763.

It is a happy number.

It is not a de Polignac number, because 3673701675 - 21 = 3673701673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3673701675.

It is not an unprimeable number, because it can be changed into a prime (3673701671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2659485 + ... + 2660865.

It is an arithmetic number, because the mean of its divisors is an integer number (80542960).

Almost surely, 23673701675 is an apocalyptic number.

3673701675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3673701675 is an abundant number, since it is smaller than the sum of its proper divisors (4058422485).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3673701675 is a wasteful number, since it uses less digits than its factorization.

3673701675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 3673701675 is about 60611.0689148443. The cubic root of 3673701675 is about 1543.0072338002.

The spelling of 3673701675 in words is "three billion, six hundred seventy-three million, seven hundred one thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 563 675 945 1381 1575 1689 2815 3941 4143 4725 5067 6905 8445 9667 11823 12429 14075 15201 19705 20715 25335 29001 34525 35469 37287 42225 48335 59115 62145 76005 87003 98525 103575 106407 126675 145005 177345 186435 241675 261009 295575 310725 380025 435015 532035 725025 777503 886725 932175 1305045 2175075 2332509 2660175 3887515 5442521 6525225 6997527 11662545 16327563 19437575 20992581 27212605 34987635 48982689 58312725 81637815 104962905 136063025 146948067 174938175 244913445 408189075 524814525 734740335 1224567225 3673701675