3791160480 has 96 divisors (see below), whose sum is σ = 12644662464. Its totient is φ = 951504896.

The previous prime is 3791160427. The next prime is 3791160481. The reversal of 3791160480 is 840611973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3791160480² = 28745795570227660800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3791160481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 224142 + ... + 240461.

It is an arithmetic number, because the mean of its divisors is an integer number (131715234).

Almost surely, 2^3791160480 is an apocalyptic number.

3791160480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3791160480 is an abundant number, since it is smaller than the sum of its proper divisors (8853501984).

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

3791160480 is a wasteful number, since it uses less digits than its factorization.

3791160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464638 (or 464630 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 3791160480 is about 61572.4003105287. The cubic root of 3791160480 is about 1559.2798122118.

The spelling of 3791160480 in words is "three billion, seven hundred ninety-one million, one hundred sixty thousand, four hundred eighty".