36414720 has 216 divisors, whose sum is σ = 131531400. Its totient is φ = 9289728.

The previous prime is 36414713. The next prime is 36414751. The reversal of 36414720 is 2741463.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 29942784 = 2544^2 + 5472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334026 + ... + 334134.

Almost surely, 2^36414720 is an apocalyptic number.

36414720 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 36414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65765700).

36414720 is an abundant number, since it is smaller than the sum of its proper divisors (95116680).

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

36414720 is a wasteful number, since it uses less digits than its factorization.

36414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 36414720 is about 6034.4610364141. The cubic root of 36414720 is about 331.4558269868.

The spelling of 36414720 in words is "thirty-six million, four hundred fourteen thousand, seven hundred twenty".