396138600 has 672 divisors, whose sum is σ = 1707703200. Its totient is φ = 83980800.

The previous prime is 396138593. The next prime is 396138601. The reversal of 396138600 is 6831693.

It is a happy number.

396138600 is a `hidden beast` number, since 39 + 6 + 13 + 8 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (396138601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20849391 + ... + 20849409.

It is an arithmetic number, because the mean of its divisors is an integer number (2541225).

Almost surely, 2^396138600 is an apocalyptic number.

396138600 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 396138600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853851600).

396138600 is an abundant number, since it is smaller than the sum of its proper divisors (1311564600).

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

396138600 is a wasteful number, since it uses less digits than its factorization.

396138600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 396138600 is about 19903.2308935007. The cubic root of 396138600 is about 734.4277094505.

The spelling of 396138600 in words is "three hundred ninety-six million, one hundred thirty-eight thousand, six hundred".