36618912 has 96 divisors (see below), whose sum is σ = 116544960. Its totient is φ = 11093760.

The previous prime is 36618899. The next prime is 36618941. The reversal of 36618912 is 21981663.

36618912 is a `hidden beast` number, since 36 + 618 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7578 + ... + 11430.

It is an arithmetic number, because the mean of its divisors is an integer number (1214010).

Almost surely, 2^36618912 is an apocalyptic number.

36618912 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 36618912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58272480).

36618912 is an abundant number, since it is smaller than the sum of its proper divisors (79926048).

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

36618912 is a wasteful number, since it uses less digits than its factorization.

36618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3869 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 36618912 is about 6051.3562116273. The cubic root of 36618912 is about 332.0742080212.

The spelling of 36618912 in words is "thirty-six million, six hundred eighteen thousand, nine hundred twelve".