36684880 has 40 divisors (see below), whose sum is σ = 85932000. Its totient is φ = 14563968.

The previous prime is 36684859. The next prime is 36684881. The reversal of 36684880 is 8848663.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×36684880² = 2691560841228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36684881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9471 + ... + 12769.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^36684880 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 36684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966000).

36684880 is an abundant number, since it is smaller than the sum of its proper divisors (49247120).

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

36684880 is a wasteful number, since it uses less digits than its factorization.

36684880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 36684880 is about 6056.8044379854. The cubic root of 36684880 is about 332.2734960283.

The spelling of 36684880 in words is "thirty-six million, six hundred eighty-four thousand, eight hundred eighty".