386678400 has 192 divisors, whose sum is σ = 1302238080. Its totient is φ = 100802560.

The previous prime is 386678381. The next prime is 386678423. The reversal of 386678400 is 4876683.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450772 + ... + 451628.

It is an arithmetic number, because the mean of its divisors is an integer number (6782490).

Almost surely, 2^386678400 is an apocalyptic number.

386678400 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 386678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651119040).

386678400 is an abundant number, since it is smaller than the sum of its proper divisors (915559680).

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

386678400 is a wasteful number, since it uses less digits than its factorization.

386678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 386678400 is about 19664.1399506818. The cubic root of 386678400 is about 728.5342453699.

The spelling of 386678400 in words is "three hundred eighty-six million, six hundred seventy-eight thousand, four hundred".