3656412792 has 128 divisors (see below), whose sum is σ = 10299072000. Its totient is φ = 1201858560.

The previous prime is 3656412791. The next prime is 3656412811. The reversal of 3656412792 is 2972146563.

3656412792 is a `hidden beast` number, since 3 + 6 + 564 + 12 + 79 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656412791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5794317 + ... + 5794947.

It is an arithmetic number, because the mean of its divisors is an integer number (80461500).

Almost surely, 2^3656412792 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 3656412792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149536000).

3656412792 is an abundant number, since it is smaller than the sum of its proper divisors (6642659208).

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

3656412792 is a wasteful number, since it uses less digits than its factorization.

3656412792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3656412792 is about 60468.2792214232. The cubic root of 3656412792 is about 1540.5829007210.

The spelling of 3656412792 in words is "three billion, six hundred fifty-six million, four hundred twelve thousand, seven hundred ninety-two".