386240218560 has 1008 divisors, whose sum is σ = 1614894188544. Its totient is φ = 87610263552.

The previous prime is 386240218543. The next prime is 386240218601. The reversal of 386240218560 is 65812042683.

386240218560 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 402 + 185 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 636309777 + ... + 636310383.

It is an arithmetic number, because the mean of its divisors is an integer number (1602077568).

Almost surely, 2^386240218560 is an apocalyptic number.

386240218560 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 386240218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807447094272).

386240218560 is an abundant number, since it is smaller than the sum of its proper divisors (1228653969984).

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

386240218560 is a wasteful number, since it uses less digits than its factorization.

386240218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 386240218560 in words is "three hundred eighty-six billion, two hundred forty million, two hundred eighteen thousand, five hundred sixty".