3656590560 has 192 divisors, whose sum is σ = 14626483200. Its totient is φ = 835785216.

The previous prime is 3656590559. The next prime is 3656590579. The reversal of 3656590560 is 650956563.

3656590560 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 590 + 56 + 0 = 666.

3656590560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3656590560² = 26741309046962227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30220 + ... + 90699.

It is an arithmetic number, because the mean of its divisors is an integer number (76179600).

Almost surely, 2^3656590560 is an apocalyptic number.

3656590560 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 3656590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313241600).

3656590560 is an abundant number, since it is smaller than the sum of its proper divisors (10969892640).

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

3656590560 is a wasteful number, since it uses less digits than its factorization.

3656590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120950 (or 120936 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 3656590560 is about 60469.7491312805. The cubic root of 3656590560 is about 1540.6078670763.

The spelling of 3656590560 in words is "three billion, six hundred fifty-six million, five hundred ninety thousand, five hundred sixty".