36403920 has 240 divisors, whose sum is σ = 144847872. Its totient is φ = 8017920.

The previous prime is 36403909. The next prime is 36403921. The reversal of 36403920 is 2930463.

36403920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36403921) 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, 156124 + ... + 156356.

Almost surely, 2^36403920 is an apocalyptic number.

36403920 is a gapful number since it is divisible by the number (30) 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 36403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72423936).

36403920 is an abundant number, since it is smaller than the sum of its proper divisors (108443952).

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

36403920 is a wasteful number, since it uses less digits than its factorization.

36403920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36403920 is about 6033.5661096900. The cubic root of 36403920 is about 331.4230556525.

The spelling of 36403920 in words is "thirty-six million, four hundred three thousand, nine hundred twenty".