36978768 has 60 divisors (see below), whose sum is σ = 107333408. Its totient is φ = 12324960.

The previous prime is 36978743. The next prime is 36978793. The reversal of 36978768 is 86787963.

It is an interprime number because it is at equal distance from previous prime (36978743) and next prime (36978793).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868 + ... + 8643.

Almost surely, 2^36978768 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 36978768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53666704).

36978768 is an abundant number, since it is smaller than the sum of its proper divisors (70354640).

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

36978768 is an equidigital number, since it uses as much as digits as its factorization.

36978768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9516 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 36978768 is about 6081.0170202031. The cubic root of 36978768 is about 333.1584344694.

The spelling of 36978768 in words is "thirty-six million, nine hundred seventy-eight thousand, seven hundred sixty-eight".