36501408 has 96 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 11996928.

The previous prime is 36501383. The next prime is 36501419. The reversal of 36501408 is 80410563.

36501408 is a `hidden beast` number, since 3 + 650 + 1 + 4 + 0 + 8 = 666.

36501408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71458 + ... + 71966.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^36501408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36501408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

36501408 is an abundant number, since it is smaller than the sum of its proper divisors (71455392).

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

36501408 is a wasteful number, since it uses less digits than its factorization.

36501408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 36501408 is about 6041.6395125827. The cubic root of 36501408 is about 331.7186371204.

The spelling of 36501408 in words is "thirty-six million, five hundred one thousand, four hundred eight".