36004960944 has 80 divisors (see below), whose sum is σ = 104091254400. Its totient is φ = 11915290944.

The previous prime is 36004960919. The next prime is 36004960969. The reversal of 36004960944 is 44906940063.

It is a happy number.

36004960944 is a `hidden beast` number, since 36 + 0 + 0 + 4 + 9 + 609 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36004960919) and next prime (36004960969).

It is a super-2 number, since 2×36004960944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36004960944.

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 15 ways as a sum of consecutive naturals, for example, 239754 + ... + 359849.

It is an arithmetic number, because the mean of its divisors is an integer number (1301140680).

Almost surely, 2^36004960944 is an apocalyptic number.

It is an amenable number.

36004960944 is an abundant number, since it is smaller than the sum of its proper divisors (68086293456).

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

36004960944 is a wasteful number, since it uses less digits than its factorization.

36004960944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599759 (or 599747 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 36004960944 in words is "thirty-six billion, four million, nine hundred sixty thousand, nine hundred forty-four".