36885814907904 has 396 divisors, whose sum is σ = 115900514444988. Its totient is φ = 11289742540800.

The previous prime is 36885814907869. The next prime is 36885814907933. The reversal of 36885814907904 is 40970941858863.

36885814907904 is a `hidden beast` number, since 3 + 6 + 88 + 58 + 1 + 490 + 7 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3914699673600 + 32971115234304 = 1978560^2 + 5742048^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109031494 + ... + 109369274.

Almost surely, 2^{36885814907904} is an apocalyptic number.

36885814907904 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 36885814907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57950257222494).

36885814907904 is an abundant number, since it is smaller than the sum of its proper divisors (79014699537084).

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

36885814907904 is a wasteful number, since it uses less digits than its factorization.

36885814907904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337882 (or 337844 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 36885814907904 in words is "thirty-six trillion, eight hundred eighty-five billion, eight hundred fourteen million, nine hundred seven thousand, nine hundred four".