3972645900 has 108 divisors (see below), whose sum is σ = 12464283832. Its totient is φ = 1058330880.

The previous prime is 3972645893. The next prime is 3972645931. The reversal of 3972645900 is 95462793.

It is a happy number.

3972645900 is a `hidden beast` number, since 39 + 7 + 26 + 4 + 590 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1462944 + ... + 1465656.

Almost surely, 2^3972645900 is an apocalyptic number.

3972645900 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 3972645900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232141916).

3972645900 is an abundant number, since it is smaller than the sum of its proper divisors (8491637932).

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

3972645900 is a wasteful number, since it uses less digits than its factorization.

3972645900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3972645900 is about 63028.9290722919. The cubic root of 3972645900 is about 1583.7742781741.

The spelling of 3972645900 in words is "three billion, nine hundred seventy-two million, six hundred forty-five thousand, nine hundred".