3136720640256 has 648 divisors, whose sum is σ = 11384757244224. Its totient is φ = 857221263360.

The previous prime is 3136720640243. The next prime is 3136720640257. The reversal of 3136720640256 is 6520460276313.

3136720640256 is a `hidden beast` number, since 3 + 1 + 36 + 7 + 206 + 402 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is not an unprimeable number, because it can be changed into a prime (3136720640257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70086046 + ... + 70130786.

Almost surely, 2^{3136720640256} is an apocalyptic number.

3136720640256 is a gapful number since it is divisible by the number (36) 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 3136720640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692378622112).

3136720640256 is an abundant number, since it is smaller than the sum of its proper divisors (8248036603968).

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

3136720640256 is an equidigital number, since it uses as much as digits as its factorization.

3136720640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44809 (or 44776 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3136720640256 in words is "three trillion, one hundred thirty-six billion, seven hundred twenty million, six hundred forty thousand, two hundred fifty-six".