36044712928224 has 5376 divisors, whose sum is σ = 163118751989760. Its totient is φ = 7524679680000.

The previous prime is 36044712928219. The next prime is 36044712928271. The reversal of 36044712928224 is 42282921744063.

36044712928224 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 471 + 2 + 92 + 82 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 356878345774 + ... + 356878345874.

It is an arithmetic number, because the mean of its divisors is an integer number (30342029760).

Almost surely, 2^{36044712928224} is an apocalyptic number.

36044712928224 is a gapful number since it is divisible by the number (34) 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 36044712928224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81559375994880).

36044712928224 is an abundant number, since it is smaller than the sum of its proper divisors (127074039061536).

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

36044712928224 is a wasteful number, since it uses less digits than its factorization.

36044712928224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 36044712928224 in words is "thirty-six trillion, forty-four billion, seven hundred twelve million, nine hundred twenty-eight thousand, two hundred twenty-four".