3137495040 has 224 divisors, whose sum is σ = 11158788960. Its totient is φ = 836370432.

The previous prime is 3137494991. The next prime is 3137495071. The reversal of 3137495040 is 405947313.

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

It is a junction number, because it is equal to n+sod(n) for n = 3137494986 and 3137495004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104502 + ... + 1107338.

Almost surely, 2^3137495040 is an apocalyptic number.

3137495040 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 3137495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579394480).

3137495040 is an abundant number, since it is smaller than the sum of its proper divisors (8021293920).

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

3137495040 is an equidigital number, since it uses as much as digits as its factorization.

3137495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3137495040 is about 56013.3469808759. The cubic root of 3137495040 is about 1463.9548494541.

The spelling of 3137495040 in words is "three billion, one hundred thirty-seven million, four hundred ninety-five thousand, forty".