3851730772560 has 1920 divisors, whose sum is σ = 16229201264640. Its totient is φ = 838464307200.

The previous prime is 3851730772501. The next prime is 3851730772597. The reversal of 3851730772560 is 652770371583.

It is a happy number.

3851730772560 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 7 + 3 + 0 + 7 + 72 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3851730772497 and 3851730772506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6675442992 + ... + 6675443568.

It is an arithmetic number, because the mean of its divisors is an integer number (8452708992).

Almost surely, 2^{3851730772560} is an apocalyptic number.

3851730772560 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 3851730772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114600632320).

3851730772560 is an abundant number, since it is smaller than the sum of its proper divisors (12377470492080).

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

3851730772560 is a wasteful number, since it uses less digits than its factorization.

3851730772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 3851730772560 in words is "three trillion, eight hundred fifty-one billion, seven hundred thirty million, seven hundred seventy-two thousand, five hundred sixty".