386084210400 has 1728 divisors, whose sum is σ = 1739813644800. Its totient is φ = 82144419840.

The previous prime is 386084210399. The next prime is 386084210423. The reversal of 386084210400 is 4012480683.

386084210400 is a `hidden beast` number, since 3 + 8 + 608 + 4 + 2 + 1 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×386084210400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1468000669 + ... + 1468000931.

It is an arithmetic number, because the mean of its divisors is an integer number (1006836600).

Almost surely, 2^386084210400 is an apocalyptic number.

386084210400 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 386084210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869906822400).

386084210400 is an abundant number, since it is smaller than the sum of its proper divisors (1353729434400).

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

386084210400 is a wasteful number, since it uses less digits than its factorization.

386084210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 386084210400 in words is "three hundred eighty-six billion, eighty-four million, two hundred ten thousand, four hundred".