3931008480 has 144 divisors (see below), whose sum is σ = 15330972384. Its totient is φ = 898513920.

The previous prime is 3931008469. The next prime is 3931008509. The reversal of 3931008480 is 848001393.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 184911 + ... + 205070.

It is an arithmetic number, because the mean of its divisors is an integer number (106465086).

Almost surely, 2^3931008480 is an apocalyptic number.

3931008480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3931008480 is an abundant number, since it is smaller than the sum of its proper divisors (11399963904).

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

3931008480 is a wasteful number, since it uses less digits than its factorization.

3931008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390009 (or 389998 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3931008480 is about 62697.7549837313. The cubic root of 3931008480 is about 1578.2216384987.

The spelling of 3931008480 in words is "three billion, nine hundred thirty-one million, eight thousand, four hundred eighty".