3137460480 has 864 divisors, whose sum is σ = 14142256128. Its totient is φ = 646963200.

The previous prime is 3137460463. The next prime is 3137460511. The reversal of 3137460480 is 840647313.

3137460480 is a `hidden beast` number, since 3 + 137 + 46 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23950015 + ... + 23950145.

It is an arithmetic number, because the mean of its divisors is an integer number (16368352).

Almost surely, 2^3137460480 is an apocalyptic number.

3137460480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071128064).

3137460480 is an abundant number, since it is smaller than the sum of its proper divisors (11004795648).

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

3137460480 is a wasteful number, since it uses less digits than its factorization.

3137460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

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

The square root of 3137460480 is about 56013.0384821249. The cubic root of 3137460480 is about 1463.9494742036.

The spelling of 3137460480 in words is "three billion, one hundred thirty-seven million, four hundred sixty thousand, four hundred eighty".