36382896 has 120 divisors (see below), whose sum is σ = 112659456. Its totient is φ = 10869120.

The previous prime is 36382883. The next prime is 36382903. The reversal of 36382896 is 69828363.

36382896 is a `hidden beast` number, since 3 + 638 + 2 + 8 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163041 + ... + 163263.

Almost surely, 2^36382896 is an apocalyptic number.

36382896 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 36382896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56329728).

36382896 is an abundant number, since it is smaller than the sum of its proper divisors (76276560).

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

36382896 is a wasteful number, since it uses less digits than its factorization.

36382896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 36382896 is about 6031.8236048479. The cubic root of 36382896 is about 331.3592421941.

The spelling of 36382896 in words is "thirty-six million, three hundred eighty-two thousand, eight hundred ninety-six".