36883920 has 80 divisors (see below), whose sum is σ = 114939072. Its totient is φ = 9784320.

The previous prime is 36883879. The next prime is 36883937. The reversal of 36883920 is 2938863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74875 + ... + 75365.

Almost surely, 2^36883920 is an apocalyptic number.

36883920 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 36883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57469536).

36883920 is an abundant number, since it is smaller than the sum of its proper divisors (78055152).

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

36883920 is a wasteful number, since it uses less digits than its factorization.

36883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 36883920 is about 6073.2133175116. The cubic root of 36883920 is about 332.8733477540.

The spelling of 36883920 in words is "thirty-six million, eight hundred eighty-three thousand, nine hundred twenty".