36331680 has 192 divisors, whose sum is σ = 142829568. Its totient is φ = 7541760.

The previous prime is 36331637. The next prime is 36331709. The reversal of 36331680 is 8613363.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36469 + ... + 37451.

It is an arithmetic number, because the mean of its divisors is an integer number (743904).

Almost surely, 2^36331680 is an apocalyptic number.

36331680 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 36331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414784).

36331680 is an abundant number, since it is smaller than the sum of its proper divisors (106497888).

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

36331680 is a wasteful number, since it uses less digits than its factorization.

36331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 36331680 is about 6027.5766274681. The cubic root of 36331680 is about 331.2036849925.

The spelling of 36331680 in words is "thirty-six million, three hundred thirty-one thousand, six hundred eighty".