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3404163672 = 233572132749
BaseRepresentation
bin1100101011100111…
…0110101001011000
322210020112102200000
43022321312221120
523432431214142
61321443013000
7150233625300
oct31271665130
98706472600
103404163672
11149761a608
127b006a160
13423353040
14244172600
1514dccb14c
hexcae76a58

3404163672 has 288 divisors, whose sum is σ = 11981970000. Its totient is φ = 897474816.

The previous prime is 3404163643. The next prime is 3404163673. The reversal of 3404163672 is 2763614043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404163673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1236954 + ... + 1239702.

Almost surely, 23404163672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404163672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990985000).

3404163672 is an abundant number, since it is smaller than the sum of its proper divisors (8577806328).

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

3404163672 is a wasteful number, since it uses less digits than its factorization.

3404163672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3404163672 is about 58345.2112173741. The cubic root of 3404163672 is about 1504.3081586666.

The spelling of 3404163672 in words is "three billion, four hundred four million, one hundred sixty-three thousand, six hundred seventy-two".