36401824 has 24 divisors (see below), whose sum is σ = 74783520. Its totient is φ = 17409216.

The previous prime is 36401803. The next prime is 36401861. The reversal of 36401824 is 42810463.

It is a junction number, because it is equal to n+sod(n) for n = 36401792 and 36401801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23994 + ... + 25465.

It is an arithmetic number, because the mean of its divisors is an integer number (3115980).

Almost surely, 2^36401824 is an apocalyptic number.

It is an amenable number.

36401824 is an abundant number, since it is smaller than the sum of its proper divisors (38381696).

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

36401824 is a wasteful number, since it uses less digits than its factorization.

36401824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49492 (or 49484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 36401824 is about 6033.3924122338. The cubic root of 36401824 is about 331.4166948352.

The spelling of 36401824 in words is "thirty-six million, four hundred one thousand, eight hundred twenty-four".