3656432352400 has 135 divisors (see below), whose sum is σ = 8923902361689. Its totient is φ = 1439733863040.

The previous prime is 3656432352383. The next prime is 3656432352499. The reversal of 3656432352400 is 42532346563.

The square root of 3656432352400 is 1912180.

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

3656432352400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1316315646864 + 2340116705536 = 1147308^2 + 1529744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2562320487 + ... + 2562321913.

Almost surely, 2^{3656432352400} is an apocalyptic number.

3656432352400 is the 1912180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656432352400

3656432352400 is an abundant number, since it is smaller than the sum of its proper divisors (5267470009289).

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

3656432352400 is an frugal number, since it uses more digits than its factorization.

3656432352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 43.

Adding to 3656432352400 its reverse (42532346563), we get a palindrome (3698964698963).

The spelling of 3656432352400 in words is "three trillion, six hundred fifty-six billion, four hundred thirty-two million, three hundred fifty-two thousand, four hundred".