36612288000 has 480 divisors, whose sum is σ = 139665034080. Its totient is φ = 9186508800.

The previous prime is 36612287993. The next prime is 36612288029. The reversal of 36612288000 is 88221663.

36612288000 is a `hidden beast` number, since 36 + 612 + 2 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9790131 + ... + 9793869.

It is an arithmetic number, because the mean of its divisors is an integer number (290968821).

Almost surely, 2^36612288000 is an apocalyptic number.

36612288000 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 36612288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69832517040).

36612288000 is an abundant number, since it is smaller than the sum of its proper divisors (103052746080).

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

36612288000 is a wasteful number, since it uses less digits than its factorization.

36612288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 36612288000 in words is "thirty-six billion, six hundred twelve million, two hundred eighty-eight thousand".