36819968 has 44 divisors (see below), whose sum is σ = 75485172. Its totient is φ = 17940480.

The previous prime is 36819947. The next prime is 36819989. The reversal of 36819968 is 86991863.

It is an interprime number because it is at equal distance from previous prime (36819947) and next prime (36819989).

It can be written as a sum of positive squares in 2 ways, for example, as 14992384 + 21827584 = 3872^2 + 4672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41546 + ... + 42422.

Almost surely, 2^36819968 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 36819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37742586).

36819968 is an abundant number, since it is smaller than the sum of its proper divisors (38665204).

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

36819968 is an equidigital number, since it uses as much as digits as its factorization.

36819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 920 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 36819968 is about 6067.9459457052. The cubic root of 36819968 is about 332.6808498515.

The spelling of 36819968 in words is "thirty-six million, eight hundred nineteen thousand, nine hundred sixty-eight".