36979968 has 72 divisors (see below), whose sum is σ = 99338400. Its totient is φ = 12212224.

The previous prime is 36979967. The next prime is 36979997. The reversal of 36979968 is 86997963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36979967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 137338 + ... + 137606.

It is an arithmetic number, because the mean of its divisors is an integer number (1379700).

Almost surely, 2^36979968 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 36979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49669200).

36979968 is an abundant number, since it is smaller than the sum of its proper divisors (62358432).

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

36979968 is a wasteful number, since it uses less digits than its factorization.

36979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The square root of 36979968 is about 6081.1156871087. The cubic root of 36979968 is about 333.1620382112.

The spelling of 36979968 in words is "thirty-six million, nine hundred seventy-nine thousand, nine hundred sixty-eight".