36375920 has 80 divisors (see below), whose sum is σ = 102368448. Its totient is φ = 11735040.

The previous prime is 36375901. The next prime is 36375929. The reversal of 36375920 is 2957363.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36375929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7610 + ... + 11430.

Almost surely, 2^36375920 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 36375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

36375920 is an abundant number, since it is smaller than the sum of its proper divisors (65992528).

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

36375920 is a wasteful number, since it uses less digits than its factorization.

36375920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 36375920 is about 6031.2453108790. The cubic root of 36375920 is about 331.3380627381.

The spelling of 36375920 in words is "thirty-six million, three hundred seventy-five thousand, nine hundred twenty".