386084351400 has 384 divisors, whose sum is σ = 1419850373760. Its totient is φ = 85708800000.

The previous prime is 386084351371. The next prime is 386084351423. The reversal of 386084351400 is 4153480683.

It is a super-2 number, since 2×386084351400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4104900 + ... + 4197900.

It is an arithmetic number, because the mean of its divisors is an integer number (3697527015).

Almost surely, 2^386084351400 is an apocalyptic number.

386084351400 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 386084351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709925186880).

386084351400 is an abundant number, since it is smaller than the sum of its proper divisors (1033766022360).

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

386084351400 is a wasteful number, since it uses less digits than its factorization.

386084351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93085 (or 93076 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 386084351400 in words is "three hundred eighty-six billion, eighty-four million, three hundred fifty-one thousand, four hundred".