36894144 has 112 divisors (see below), whose sum is σ = 113109248. Its totient is φ = 10395648.

The previous prime is 36894103. The next prime is 36894163. The reversal of 36894144 is 44149863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×36894144² = 2722355722985472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130227 + ... + 130509.

It is an arithmetic number, because the mean of its divisors is an integer number (1009904).

Almost surely, 2^36894144 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 36894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56554624).

36894144 is an abundant number, since it is smaller than the sum of its proper divisors (76215104).

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

36894144 is a wasteful number, since it uses less digits than its factorization.

36894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 36894144 is about 6074.0549882266. The cubic root of 36894144 is about 332.9041017402.

The spelling of 36894144 in words is "thirty-six million, eight hundred ninety-four thousand, one hundred forty-four".