3655872000 has 480 divisors, whose sum is σ = 14389730784. Its totient is φ = 884736000.

The previous prime is 3655871963. The next prime is 3655872029. The reversal of 3655872000 is 2785563.

3655872000 is a `hidden beast` number, since 36 + 558 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6335712 + ... + 6336288.

Almost surely, 2^3655872000 is an apocalyptic number.

3655872000 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 3655872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194865392).

3655872000 is an abundant number, since it is smaller than the sum of its proper divisors (10733858784).

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

3655872000 is a wasteful number, since it uses less digits than its factorization.

3655872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3655872000 is about 60463.8073561366. The cubic root of 3655872000 is about 1540.5069450386.

The spelling of 3655872000 in words is "three billion, six hundred fifty-five million, eight hundred seventy-two thousand".