36391680 has 288 divisors, whose sum is σ = 140790720. Its totient is φ = 8957952.

The previous prime is 36391657. The next prime is 36391697. The reversal of 36391680 is 8619363.

It is a happy number.

36391680 is a `hidden beast` number, since 3 + 639 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 468 × 180 × 432.

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, 2799354 + ... + 2799366.

Almost surely, 2^36391680 is an apocalyptic number.

36391680 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 36391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70395360).

36391680 is an abundant number, since it is smaller than the sum of its proper divisors (104399040).

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

36391680 is an frugal number, since it uses more digits than its factorization.

36391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36391680 is about 6032.5516989082. The cubic root of 36391680 is about 331.3859069706.

The spelling of 36391680 in words is "thirty-six million, three hundred ninety-one thousand, six hundred eighty".