3625535879056 has 135 divisors (see below), whose sum is σ = 8849935601073. Its totient is φ = 1434003742080.

The previous prime is 3625535879051. The next prime is 3625535879057. The reversal of 3625535879056 is 6509785355263.

The square root of 3625535879056 is 1904084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 536321875600 + 3089214003456 = 732340^2 + 1757616^2 .

It is a super-2 number, since 2×3625535879056² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3625535879051) 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 26 ways as a sum of consecutive naturals, for example, 693083961 + ... + 693089191.

Almost surely, 2^{3625535879056} is an apocalyptic number.

3625535879056 is the 1904084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625535879056

3625535879056 is an abundant number, since it is smaller than the sum of its proper divisors (5224399722017).

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

3625535879056 is an frugal number, since it uses more digits than its factorization.

3625535879056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 64.

Multiplying 3625535879056 by its sum of digits (64), we get a square (232034296259584 = 15232672²).

The spelling of 3625535879056 in words is "three trillion, six hundred twenty-five billion, five hundred thirty-five million, eight hundred seventy-nine thousand, fifty-six".