386009772960 has 384 divisors, whose sum is σ = 1509967872000. Its totient is φ = 80890306560.

The previous prime is 386009772943. The next prime is 386009772989. The reversal of 386009772960 is 69277900683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 386009772960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1881516 + ... + 2076564.

It is an arithmetic number, because the mean of its divisors is an integer number (3932208000).

Almost surely, 2^386009772960 is an apocalyptic number.

386009772960 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 386009772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754983936000).

386009772960 is an abundant number, since it is smaller than the sum of its proper divisors (1123958099040).

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

386009772960 is a wasteful number, since it uses less digits than its factorization.

386009772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195124 (or 195116 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 386009772960 in words is "three hundred eighty-six billion, nine million, seven hundred seventy-two thousand, nine hundred sixty".