396038160 has 200 divisors, whose sum is σ = 1572179136. Its totient is φ = 90512640.

The previous prime is 396038131. The next prime is 396038189. The reversal of 396038160 is 61830693.

It is a happy number.

396038160 is a `hidden beast` number, since 39 + 603 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396038131) and next prime (396038189).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40995 + ... + 49725.

Almost surely, 2^396038160 is an apocalyptic number.

396038160 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 396038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786089568).

396038160 is an abundant number, since it is smaller than the sum of its proper divisors (1176140976).

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

396038160 is a wasteful number, since it uses less digits than its factorization.

396038160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763 (or 8748 counting only the distinct ones).

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

The square root of 396038160 is about 19900.7075251108. The cubic root of 396038160 is about 734.3656334040.

The spelling of 396038160 in words is "three hundred ninety-six million, thirty-eight thousand, one hundred sixty".