3137536048680 has 1536 divisors, whose sum is σ = 12833759232000. Its totient is φ = 674942976000.

The previous prime is 3137536048679. The next prime is 3137536048681. The reversal of 3137536048680 is 868406357313.

3137536048680 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 536 + 0 + 48 + 68 + 0 = 666.

3137536048680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3137536048679) and next prime (3137536048681).

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

It is not an unprimeable number, because it can be changed into a prime (3137536048681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4363749361 + ... + 4363750079.

It is an arithmetic number, because the mean of its divisors is an integer number (8355312000).

Almost surely, 2^{3137536048680} is an apocalyptic number.

3137536048680 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 3137536048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416879616000).

3137536048680 is an abundant number, since it is smaller than the sum of its proper divisors (9696223183320).

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

3137536048680 is a wasteful number, since it uses less digits than its factorization.

3137536048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3137536048680 in words is "three trillion, one hundred thirty-seven billion, five hundred thirty-six million, forty-eight thousand, six hundred eighty".