395531136 has 480 divisors, whose sum is σ = 1559932920. Its totient is φ = 94832640.

The previous prime is 395531119. The next prime is 395531153. The reversal of 395531136 is 631135593.

395531136 is a `hidden beast` number, since 3 + 95 + 531 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (395531119) and next prime (395531153).

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

It is a self number, because there is not a number n which added to its sum of digits gives 395531136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30425466 + ... + 30425478.

Almost surely, 2^395531136 is an apocalyptic number.

395531136 is a gapful number since it is divisible by the number (36) 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 395531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779966460).

395531136 is an abundant number, since it is smaller than the sum of its proper divisors (1164401784).

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

395531136 is a wasteful number, since it uses less digits than its factorization.

395531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its digits is 36450, while the sum is 36.

The square root of 395531136 is about 19887.9646017384. The cubic root of 395531136 is about 734.0521114197.

The spelling of 395531136 in words is "three hundred ninety-five million, five hundred thirty-one thousand, one hundred thirty-six".