36881824 has 48 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 15715584.

The previous prime is 36881807. The next prime is 36881849. The reversal of 36881824 is 42818863.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50937 + ... + 51655.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^36881824 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 36881824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

36881824 is an abundant number, since it is smaller than the sum of its proper divisors (46580576).

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

36881824 is a wasteful number, since it uses less digits than its factorization.

36881824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 36881824 is about 6073.0407540210. The cubic root of 36881824 is about 332.8670422442.

The spelling of 36881824 in words is "thirty-six million, eight hundred eighty-one thousand, eight hundred twenty-four".