3972151296 has 72 divisors (see below), whose sum is σ = 11472355440. Its totient is φ = 1324044288.

The previous prime is 3972151289. The next prime is 3972151297. The reversal of 3972151296 is 6921512793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972151297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89320 + ... + 126183.

It is an arithmetic number, because the mean of its divisors is an integer number (159338270).

Almost surely, 2^3972151296 is an apocalyptic number.

3972151296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3972151296 is an abundant number, since it is smaller than the sum of its proper divisors (7500204144).

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

3972151296 is a wasteful number, since it uses less digits than its factorization.

3972151296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215531 (or 215508 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 3972151296 is about 63025.0053232842. The cubic root of 3972151296 is about 1583.7085475398.

The spelling of 3972151296 in words is "three billion, nine hundred seventy-two million, one hundred fifty-one thousand, two hundred ninety-six".