36804880 has 120 divisors (see below), whose sum is σ = 102415320. Its totient is φ = 12257280.

The previous prime is 36804877. The next prime is 36804893. The reversal of 36804880 is 8840863.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 33593616 = 1792^2 + 5796^2 .

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, 160606 + ... + 160834.

It is an arithmetic number, because the mean of its divisors is an integer number (853461).

Almost surely, 2^36804880 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 36804880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51207660).

36804880 is an abundant number, since it is smaller than the sum of its proper divisors (65610440).

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

36804880 is a wasteful number, since it uses less digits than its factorization.

36804880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 36804880 is about 6066.7025639964. The cubic root of 36804880 is about 332.6354019173.

The spelling of 36804880 in words is "thirty-six million, eight hundred four thousand, eight hundred eighty".