36838560 has 96 divisors (see below), whose sum is σ = 126608832. Its totient is φ = 8929280.

The previous prime is 36838531. The next prime is 36838579. The reversal of 36838560 is 6583863.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1792 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (1318842).

Almost surely, 2^36838560 is an apocalyptic number.

36838560 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 36838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63304416).

36838560 is an abundant number, since it is smaller than the sum of its proper divisors (89770272).

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

36838560 is a wasteful number, since it uses less digits than its factorization.

36838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 36838560 is about 6069.4777370051. The cubic root of 36838560 is about 332.7368354297.

The spelling of 36838560 in words is "thirty-six million, eight hundred thirty-eight thousand, five hundred sixty".