3972647400 has 96 divisors (see below), whose sum is σ = 12850695360. Its totient is φ = 1013309440.

The previous prime is 3972647369. The next prime is 3972647429. The reversal of 3972647400 is 47462793.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130137 + ... + 157736.

It is an arithmetic number, because the mean of its divisors is an integer number (133861410).

Almost surely, 2^3972647400 is an apocalyptic number.

3972647400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3972647400 is an abundant number, since it is smaller than the sum of its proper divisors (8878047960).

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

3972647400 is a wasteful number, since it uses less digits than its factorization.

3972647400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287915 (or 287906 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 3972647400 is about 63028.9409715886. The cubic root of 3972647400 is about 1583.7744775091.

The spelling of 3972647400 in words is "three billion, nine hundred seventy-two million, six hundred forty-seven thousand, four hundred".