36401904 has 240 divisors, whose sum is σ = 131539200. Its totient is φ = 9313920.

The previous prime is 36401903. The next prime is 36401909. The reversal of 36401904 is 40910463.

36401904 is a `hidden beast` number, since 3 + 640 + 19 + 0 + 4 = 666.

36401904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36401904² = 2650197229650432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36401903) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 543279 + ... + 543345.

It is an arithmetic number, because the mean of its divisors is an integer number (548080).

Almost surely, 2^36401904 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 36401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65769600).

36401904 is an abundant number, since it is smaller than the sum of its proper divisors (95137296).

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

36401904 is a wasteful number, since it uses less digits than its factorization.

36401904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36401904 is about 6033.3990419995. The cubic root of 36401904 is about 331.4169376189.

The spelling of 36401904 in words is "thirty-six million, four hundred one thousand, nine hundred four".