36401920 has 36 divisors (see below), whose sum is σ = 87197040. Its totient is φ = 14560256.

The previous prime is 36401917. The next prime is 36401941. The reversal of 36401920 is 2910463.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12940 + ... + 15499.

It is an arithmetic number, because the mean of its divisors is an integer number (2422140).

Almost surely, 2^36401920 is an apocalyptic number.

It is an amenable number.

36401920 is an abundant number, since it is smaller than the sum of its proper divisors (50795120).

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

36401920 is an equidigital number, since it uses as much as digits as its factorization.

36401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28460 (or 28446 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 36401920 is about 6033.4003679517. The cubic root of 36401920 is about 331.4169861756.

It can be divided in two parts, 36 and 401920, that added together give a square (401956 = 634²).

The spelling of 36401920 in words is "thirty-six million, four hundred one thousand, nine hundred twenty".