36744400 has 120 divisors (see below), whose sum is σ = 110153664. Its totient is φ = 11443200.

The previous prime is 36744371. The next prime is 36744413. The reversal of 36744400 is 444763.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30204 + ... + 31396.

Almost surely, 2^36744400 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 36744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55076832).

36744400 is an abundant number, since it is smaller than the sum of its proper divisors (73409264).

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

36744400 is a wasteful number, since it uses less digits than its factorization.

36744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 36744400 is about 6061.7159286789. The cubic root of 36744400 is about 332.4530998352.

The spelling of 36744400 in words is "thirty-six million, seven hundred forty-four thousand, four hundred".