386297795520 has 1792 divisors, whose sum is σ = 1764231168000. Its totient is φ = 79009136640.

The previous prime is 386297795447. The next prime is 386297795579. The reversal of 386297795520 is 25597792683.

386297795520 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 9 + 7 + 79 + 552 + 0 = 666.

It is a super-3 number, since 3×386297795520³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1425452985 + ... + 1425453255.

It is an arithmetic number, because the mean of its divisors is an integer number (984504000).

Almost surely, 2^386297795520 is an apocalyptic number.

386297795520 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 386297795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882115584000).

386297795520 is an abundant number, since it is smaller than the sum of its proper divisors (1377933372480).

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

386297795520 is a wasteful number, since it uses less digits than its factorization.

386297795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 386297795520 in words is "three hundred eighty-six billion, two hundred ninety-seven million, seven hundred ninety-five thousand, five hundred twenty".