3157313040 has 480 divisors, whose sum is σ = 13210940160. Its totient is φ = 689762304.

The previous prime is 3157313039. The next prime is 3157313051. The reversal of 3157313040 is 403137513.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3157312995 and 3157313013.

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, 2433672 + ... + 2434968.

It is an arithmetic number, because the mean of its divisors is an integer number (27522792).

Almost surely, 2^3157313040 is an apocalyptic number.

3157313040 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 3157313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605470080).

3157313040 is an abundant number, since it is smaller than the sum of its proper divisors (10053627120).

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

3157313040 is a wasteful number, since it uses less digits than its factorization.

3157313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3157313040 is about 56189.9727709491. The cubic root of 3157313040 is about 1467.0307411142.

The spelling of 3157313040 in words is "three billion, one hundred fifty-seven million, three hundred thirteen thousand, forty".