3972727080 has 128 divisors (see below), whose sum is σ = 15134227200. Its totient is φ = 908050176.

The previous prime is 3972727069. The next prime is 3972727133. The reversal of 3972727080 is 807272793.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 255187 + ... + 270306.

It is an arithmetic number, because the mean of its divisors is an integer number (118236150).

Almost surely, 2^3972727080 is an apocalyptic number.

3972727080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3972727080 is an abundant number, since it is smaller than the sum of its proper divisors (11161500120).

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

3972727080 is a wasteful number, since it uses less digits than its factorization.

3972727080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525520 (or 525510 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 3972727080 is about 63029.5730590014. The cubic root of 3972727080 is about 1583.7850661077.

The spelling of 3972727080 in words is "three billion, nine hundred seventy-two million, seven hundred twenty-seven thousand, eighty".