3656112000 has 256 divisors, whose sum is σ = 12334982400. Its totient is φ = 957696000.

The previous prime is 3656111939. The next prime is 3656112001. The reversal of 3656112000 is 2116563.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656112001) 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, 2831355 + ... + 2832645.

It is an arithmetic number, because the mean of its divisors is an integer number (48183525).

Almost surely, 2^3656112000 is an apocalyptic number.

3656112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167491200).

3656112000 is an abundant number, since it is smaller than the sum of its proper divisors (8678870400).

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

3656112000 is a wasteful number, since it uses less digits than its factorization.

3656112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3656112000 is about 60465.7919819132. The cubic root of 3656112000 is about 1540.5406546047.

Adding to 3656112000 its reverse (2116563), we get a palindrome (3658228563).

The spelling of 3656112000 in words is "three billion, six hundred fifty-six million, one hundred twelve thousand".