386314642560 has 1024 divisors, whose sum is σ = 1598994432000. Its totient is φ = 77009387520.

The previous prime is 386314642541. The next prime is 386314642603. The reversal of 386314642560 is 65246413683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368268916 + ... + 368269964.

It is an arithmetic number, because the mean of its divisors is an integer number (1561518000).

Almost surely, 2^386314642560 is an apocalyptic number.

386314642560 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 386314642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799497216000).

386314642560 is an abundant number, since it is smaller than the sum of its proper divisors (1212679789440).

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

386314642560 is a wasteful number, since it uses less digits than its factorization.

386314642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 386314642560 in words is "three hundred eighty-six billion, three hundred fourteen million, six hundred forty-two thousand, five hundred sixty".