3872332791 has 64 divisors (see below), whose sum is σ = 6402969600. Its totient is φ = 2302473600.

The previous prime is 3872332771. The next prime is 3872332813. The reversal of 3872332791 is 1972332783.

It is not a de Polignac number, because 3872332791 - 2⁵ = 3872332759 is a prime.

It is a super-2 number, since 2×3872332791² = 29989922488507699362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872332771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585121 + ... + 591701.

It is an arithmetic number, because the mean of its divisors is an integer number (100046400).

Almost surely, 2^3872332791 is an apocalyptic number.

3872332791 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3872332791 is a deficient number, since it is larger than the sum of its proper divisors (2530636809).

3872332791 is a wasteful number, since it uses less digits than its factorization.

3872332791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6671 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 3872332791 is about 62228.0707639245. The cubic root of 3872332791 is about 1570.3298684807.

The spelling of 3872332791 in words is "three billion, eight hundred seventy-two million, three hundred thirty-two thousand, seven hundred ninety-one".