36412992 has 168 divisors, whose sum is σ = 130283712. Its totient is φ = 9446400.

The previous prime is 36412973. The next prime is 36413017. The reversal of 36412992 is 29921463.

36412992 is a `hidden beast` number, since 3 + 641 + 2 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

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

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 23 ways as a sum of consecutive naturals, for example, 43942 + ... + 44762.

Almost surely, 2^36412992 is an apocalyptic number.

36412992 is a gapful number since it is divisible by the number (32) 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 36412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65141856).

36412992 is an abundant number, since it is smaller than the sum of its proper divisors (93870720).

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

36412992 is a wasteful number, since it uses less digits than its factorization.

36412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

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

The square root of 36412992 is about 6034.3178570572. The cubic root of 36412992 is about 331.4505840088.

The spelling of 36412992 in words is "thirty-six million, four hundred twelve thousand, nine hundred ninety-two".