36880704 has 112 divisors (see below), whose sum is σ = 123952000. Its totient is φ = 10533888.

The previous prime is 36880699. The next prime is 36880709. The reversal of 36880704 is 40708863.

It is an interprime number because it is at equal distance from previous prime (36880699) and next prime (36880709).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36880709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10572 + ... + 13620.

Almost surely, 2^36880704 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 36880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61976000).

36880704 is an abundant number, since it is smaller than the sum of its proper divisors (87071296).

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

36880704 is a wasteful number, since it uses less digits than its factorization.

36880704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3061 counting only the distinct ones).

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

The square root of 36880704 is about 6072.9485425121. The cubic root of 36880704 is about 332.8636727899.

The spelling of 36880704 in words is "thirty-six million, eight hundred eighty thousand, seven hundred four".