386221800960 has 240 divisors, whose sum is σ = 1339033965984. Its totient is φ = 102881673216.

The previous prime is 386221800959. The next prime is 386221800989. The reversal of 386221800960 is 69008122683.

386221800960 is a `hidden beast` number, since 3 + 8 + 622 + 18 + 0 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22639794 + ... + 22656846.

Almost surely, 2^386221800960 is an apocalyptic number.

386221800960 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 386221800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669516982992).

386221800960 is an abundant number, since it is smaller than the sum of its proper divisors (952812165024).

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

386221800960 is a wasteful number, since it uses less digits than its factorization.

386221800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18065 (or 18046 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 386221800960 in words is "three hundred eighty-six billion, two hundred twenty-one million, eight hundred thousand, nine hundred sixty".