36736416 has 60 divisors (see below), whose sum is σ = 108048402. Its totient is φ = 12244608.

The previous prime is 36736393. The next prime is 36736421. The reversal of 36736416 is 61463763.

It is a happy number.

36736416 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25040016 + 11696400 = 5004^2 + 3420^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4495 + ... + 9678.

Almost surely, 2^36736416 is an apocalyptic number.

36736416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36736416 is an abundant number, since it is smaller than the sum of its proper divisors (71311986).

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

36736416 is a wasteful number, since it uses less digits than its factorization.

36736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14195 (or 14178 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 36736416 is about 6061.0573335021. The cubic root of 36736416 is about 332.4290190881.

The spelling of 36736416 in words is "thirty-six million, seven hundred thirty-six thousand, four hundred sixteen".