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3378700125 = 325317332
BaseRepresentation
bin1100100101100010…
…1101111101011101
322201110121202020200
43021120231331131
523404421401000
61315133134113
7146504322453
oct31130557535
98643552220
103378700125
111484208459
127a362a339
1341aca8b58
14240a249d3
1514b94b500
hexc962df5d

3378700125 has 36 divisors (see below), whose sum is σ = 6094186644. Its totient is φ = 1800933600.

The previous prime is 3378700123. The next prime is 3378700151. The reversal of 3378700125 is 5210078733.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1274918436 + 2103781689 = 35706^2 + 45867^2 .

It is not a de Polignac number, because 3378700125 - 21 = 3378700123 is a prime.

It is a super-2 number, since 2×33787001252 = 22831229069350031250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3378700125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378700123) 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 35 ways as a sum of consecutive naturals, for example, 1948759 + ... + 1950491.

Almost surely, 23378700125 is an apocalyptic number.

It is an amenable number.

3378700125 is a deficient number, since it is larger than the sum of its proper divisors (2715486519).

3378700125 is an frugal number, since it uses more digits than its factorization.

3378700125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3378700125 is about 58126.5870751070. The cubic root of 3378700125 is about 1500.5479664641.

Multiplying 3378700125 by its product of nonzero digits (35280), we get a square (119200540410000 = 109179002).

Adding to 3378700125 its reverse (5210078733), we get a palindrome (8588778858).

The spelling of 3378700125 in words is "three billion, three hundred seventy-eight million, seven hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1733 5199 8665 15597 25995 43325 77985 129975 216625 389925 649875 1949625 3003289 9009867 15016445 27029601 45049335 75082225 135148005 225246675 375411125 675740025 1126233375 3378700125