3105728640000 has 2640 divisors, whose sum is σ = 14221688203008. Its totient is φ = 635830272000.

The previous prime is 3105728639969. The next prime is 3105728640019. The reversal of 3105728640000 is 468275013.

3105728640000 is a `hidden beast` number, since 3 + 1 + 0 + 5 + 7 + 2 + 8 + 640 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15765119902 + ... + 15765120098.

Almost surely, 2^{3105728640000} is an apocalyptic number.

3105728640000 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 3105728640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110844101504).

3105728640000 is an abundant number, since it is smaller than the sum of its proper divisors (11115959563008).

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

3105728640000 is a wasteful number, since it uses less digits than its factorization.

3105728640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3105728640000 in words is "three trillion, one hundred five billion, seven hundred twenty-eight million, six hundred forty thousand".