396395100 has 144 divisors (see below), whose sum is σ = 1341580800. Its totient is φ = 100128960.

The previous prime is 396395017. The next prime is 396395101. The reversal of 396395100 is 1593693.

396395100 is a `hidden beast` number, since 3 + 9 + 639 + 5 + 10 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396395101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47437 + ... + 55163.

Almost surely, 2^396395100 is an apocalyptic number.

396395100 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 396395100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670790400).

396395100 is an abundant number, since it is smaller than the sum of its proper divisors (945185700).

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

396395100 is a wasteful number, since it uses less digits than its factorization.

396395100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7769 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 396395100 is about 19909.6735282124. The cubic root of 396395100 is about 734.5861893892.

It can be divided in two parts, 396395 and 100, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 396395100 in words is "three hundred ninety-six million, three hundred ninety-five thousand, one hundred".