3157507853640 has 1536 divisors, whose sum is σ = 12983338368000. Its totient is φ = 674963767296.

The previous prime is 3157507853639. The next prime is 3157507853681. The reversal of 3157507853640 is 463587057513.

3157507853640 is a `hidden beast` number, since 3 + 1 + 57 + 50 + 7 + 8 + 536 + 4 + 0 = 666.

It is a super-2 number, since 2×3157507853640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 11398945182 + ... + 11398945458.

It is an arithmetic number, because the mean of its divisors is an integer number (8452694250).

Almost surely, 2^{3157507853640} is an apocalyptic number.

3157507853640 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 3157507853640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491669184000).

3157507853640 is an abundant number, since it is smaller than the sum of its proper divisors (9825830514360).

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

3157507853640 is a wasteful number, since it uses less digits than its factorization.

3157507853640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 3157507853640 in words is "three trillion, one hundred fifty-seven billion, five hundred seven million, eight hundred fifty-three thousand, six hundred forty".