36973920 has 48 divisors (see below), whose sum is σ = 116469360. Its totient is φ = 9859584.

The previous prime is 36973919. The next prime is 36973921. The reversal of 36973920 is 2937963.

It is an interprime number because it is at equal distance from previous prime (36973919) and next prime (36973921).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36973921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38035 + ... + 38994.

It is an arithmetic number, because the mean of its divisors is an integer number (2426445).

Almost surely, 2^36973920 is an apocalyptic number.

36973920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36973920 is an abundant number, since it is smaller than the sum of its proper divisors (79495440).

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

36973920 is a wasteful number, since it uses less digits than its factorization.

36973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77047 (or 77039 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 36973920 is about 6080.6183896048. The cubic root of 36973920 is about 333.1438745587.

The spelling of 36973920 in words is "thirty-six million, nine hundred seventy-three thousand, nine hundred twenty".