36879360 has 220 divisors, whose sum is σ = 137607528. Its totient is φ = 8429568.

The previous prime is 36879347. The next prime is 36879379. The reversal of 36879360 is 6397863.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5268477 + ... + 5268483.

Almost surely, 2^36879360 is an apocalyptic number.

36879360 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 36879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68803764).

36879360 is an abundant number, since it is smaller than the sum of its proper divisors (100728168).

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

36879360 is an frugal number, since it uses more digits than its factorization.

36879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 36879360 is about 6072.8378868532. The cubic root of 36879360 is about 332.8596293547.

The spelling of 36879360 in words is "thirty-six million, eight hundred seventy-nine thousand, three hundred sixty".