36812880 has 400 divisors, whose sum is σ = 151240320. Its totient is φ = 8211456.

The previous prime is 36812851. The next prime is 36812887. The reversal of 36812880 is 8821863.

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 (36812887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600549 + ... + 1600571.

Almost surely, 2^36812880 is an apocalyptic number.

36812880 is a gapful number since it is divisible by the number (30) 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 36812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

36812880 is an abundant number, since it is smaller than the sum of its proper divisors (114427440).

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

36812880 is a wasteful number, since it uses less digits than its factorization.

36812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 36812880 is about 6067.3618649294. The cubic root of 36812880 is about 332.6595009900.

It can be divided in two parts, 3681 and 2880, that added together give a 8-th power (6561 = 3⁸).

The spelling of 36812880 in words is "thirty-six million, eight hundred twelve thousand, eight hundred eighty".