36400920 has 32 divisors (see below), whose sum is σ = 109203120. Its totient is φ = 9706880.

The previous prime is 36400901. The next prime is 36400943. The reversal of 36400920 is 2900463.

36400920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 151551 + ... + 151790.

Almost surely, 2^36400920 is an apocalyptic number.

36400920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36400920 is an abundant number, since it is smaller than the sum of its proper divisors (72802200).

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

36400920 is a wasteful number, since it uses less digits than its factorization.

36400920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303355 (or 303351 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 36400920 is about 6033.3174953752. The cubic root of 36400920 is about 331.4139513538.

The spelling of 36400920 in words is "thirty-six million, four hundred thousand, nine hundred twenty".