3137046480 has 120 divisors (see below), whose sum is σ = 10820076072. Its totient is φ = 813929472.

The previous prime is 3137046427. The next prime is 3137046481. The reversal of 3137046480 is 846407313.

3137046480 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 0 + 4 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113806224 + 3023240256 = 10668^2 + 54984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137046481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32239 + ... + 85518.

Almost surely, 2^3137046480 is an apocalyptic number.

3137046480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3137046480 is an abundant number, since it is smaller than the sum of its proper divisors (7683029592).

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

3137046480 is a wasteful number, since it uses less digits than its factorization.

3137046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117813 (or 117804 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3137046480 is about 56009.3427920735. The cubic root of 3137046480 is about 1463.8850801131.

The spelling of 3137046480 in words is "three billion, one hundred thirty-seven million, forty-six thousand, four hundred eighty".