3656032120125 has 384 divisors, whose sum is σ = 8435940065280. Its totient is φ = 1479047040000.

The previous prime is 3656032120087. The next prime is 3656032120177. The reversal of 3656032120125 is 5210212306563.

3656032120125 is a `hidden beast` number, since 3 + 6 + 5 + 603 + 2 + 1 + 20 + 1 + 25 = 666.

It is not a de Polignac number, because 3656032120125 - 2¹⁸ = 3656031857981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3656032120125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2198455044 + ... + 2198456706.

It is an arithmetic number, because the mean of its divisors is an integer number (21968593920).

Almost surely, 2^{3656032120125} is an apocalyptic number.

3656032120125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3656032120125 is an abundant number, since it is smaller than the sum of its proper divisors (4779907945155).

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

3656032120125 is a wasteful number, since it uses less digits than its factorization.

3656032120125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 3656032120125 its reverse (5210212306563), we get a palindrome (8866244426688).

The spelling of 3656032120125 in words is "three trillion, six hundred fifty-six billion, thirty-two million, one hundred twenty thousand, one hundred twenty-five".