36465408 has 324 divisors, whose sum is σ = 136314360. Its totient is φ = 9289728.

The previous prime is 36465397. The next prime is 36465413. The reversal of 36465408 is 80456463.

36465408 is a `hidden beast` number, since 3 + 646 + 5 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919223 + ... + 1919241.

Almost surely, 2^36465408 is an apocalyptic number.

36465408 is a gapful number since it is divisible by the number (38) 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 36465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68157180).

36465408 is an abundant number, since it is smaller than the sum of its proper divisors (99848952).

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

36465408 is a wasteful number, since it uses less digits than its factorization.

36465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36465408 is about 6038.6594538854. The cubic root of 36465408 is about 331.6095472735.

The spelling of 36465408 in words is "thirty-six million, four hundred sixty-five thousand, four hundred eight".