36004921344 has 384 divisors, whose sum is σ = 120718615680. Its totient is φ = 10128457728.

The previous prime is 36004921331. The next prime is 36004921357. The reversal of 36004921344 is 44312940063.

It is a happy number.

36004921344 is a `hidden beast` number, since 3 + 600 + 4 + 9 + 2 + 1 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (36004921331) and next prime (36004921357).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 36004921299 and 36004921308.

It is a congruent number.

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, 220889007 + ... + 220889169.

It is an arithmetic number, because the mean of its divisors is an integer number (314371395).

Almost surely, 2^36004921344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36004921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60359307840).

36004921344 is an abundant number, since it is smaller than the sum of its proper divisors (84713694336).

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

36004921344 is a wasteful number, since it uses less digits than its factorization.

36004921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 36004921344 in words is "thirty-six billion, four million, nine hundred twenty-one thousand, three hundred forty-four".