386475747840 has 1440 divisors, whose sum is σ = 1776549574800. Its totient is φ = 76695994368.

The previous prime is 386475747811. The next prime is 386475747851. The reversal of 386475747840 is 48747574683.

386475747840 is a `hidden beast` number, since 3 + 86 + 47 + 5 + 7 + 478 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 117687419136 + 268788328704 = 343056^2 + 518448^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249499386 + ... + 249500934.

Almost surely, 2^386475747840 is an apocalyptic number.

386475747840 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 386475747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888274787400).

386475747840 is an abundant number, since it is smaller than the sum of its proper divisors (1390073826960).

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

386475747840 is a wasteful number, since it uses less digits than its factorization.

386475747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 386475747840 in words is "three hundred eighty-six billion, four hundred seventy-five million, seven hundred forty-seven thousand, eight hundred forty".