36878688 has 144 divisors (see below), whose sum is σ = 130830336. Its totient is φ = 9573120.

The previous prime is 36878671. The next prime is 36878711. The reversal of 36878688 is 88687863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21345 + ... + 23007.

It is an arithmetic number, because the mean of its divisors is an integer number (908544).

Almost surely, 2^36878688 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 36878688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65415168).

36878688 is an abundant number, since it is smaller than the sum of its proper divisors (93951648).

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

36878688 is a wasteful number, since it uses less digits than its factorization.

36878688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1686 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 36878688 is about 6072.7825582677. The cubic root of 36878688 is about 332.8576076003.

The spelling of 36878688 in words is "thirty-six million, eight hundred seventy-eight thousand, six hundred eighty-eight".