386324400 has 480 divisors, whose sum is σ = 1598611968. Its totient is φ = 77414400.

The previous prime is 386324381. The next prime is 386324417. The reversal of 386324400 is 4423683.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3418744 + ... + 3418856.

Almost surely, 2^386324400 is an apocalyptic number.

386324400 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 386324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799305984).

386324400 is an abundant number, since it is smaller than the sum of its proper divisors (1212287568).

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

386324400 is a wasteful number, since it uses less digits than its factorization.

386324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 386324400 is about 19655.1367331800. The cubic root of 386324400 is about 728.3118556831.

The spelling of 386324400 in words is "three hundred eighty-six million, three hundred twenty-four thousand, four hundred".