36875280 has 160 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 8865792.

The previous prime is 36875243. The next prime is 36875287. The reversal of 36875280 is 8257863.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (36875287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165249 + ... + 165471.

Almost surely, 2^36875280 is an apocalyptic number.

36875280 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 36875280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

36875280 is an abundant number, since it is smaller than the sum of its proper divisors (89116656).

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

36875280 is a wasteful number, since it uses less digits than its factorization.

36875280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 36875280 is about 6072.5019555369. The cubic root of 36875280 is about 332.8473540389.

The spelling of 36875280 in words is "thirty-six million, eight hundred seventy-five thousand, two hundred eighty".