36774444 has 48 divisors (see below), whose sum is σ = 99187200. Its totient is φ = 10386816.

The previous prime is 36774433. The next prime is 36774449. The reversal of 36774444 is 44447763.

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

It is not an unprimeable number, because it can be changed into a prime (36774449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5017 + ... + 9935.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 2^36774444 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 36774444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593600).

36774444 is an abundant number, since it is smaller than the sum of its proper divisors (62412756).

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

36774444 is a wasteful number, since it uses less digits than its factorization.

36774444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5020 counting only the distinct ones).

The product of its digits is 225792, while the sum is 39.

The square root of 36774444 is about 6064.1935984927. The cubic root of 36774444 is about 332.5436850662.

The spelling of 36774444 in words is "thirty-six million, seven hundred seventy-four thousand, four hundred forty-four".