36004411872 has 672 divisors, whose sum is σ = 128269443456. Its totient is φ = 9797760000.

The previous prime is 36004411823. The next prime is 36004411889. The reversal of 36004411872 is 27811440063.

36004411872 is a `hidden beast` number, since 3 + 600 + 4 + 41 + 1 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×36004411872² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143443747 + ... + 143443997.

It is an arithmetic number, because the mean of its divisors is an integer number (190877148).

Almost surely, 2^36004411872 is an apocalyptic number.

36004411872 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 36004411872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64134721728).

36004411872 is an abundant number, since it is smaller than the sum of its proper divisors (92265031584).

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

36004411872 is a wasteful number, since it uses less digits than its factorization.

36004411872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 36004411872 in words is "thirty-six billion, four million, four hundred eleven thousand, eight hundred seventy-two".