36774720 has 126 divisors (see below), whose sum is σ = 127618998. Its totient is φ = 9719808.

The previous prime is 36774719. The next prime is 36774733. The reversal of 36774720 is 2747763.

It can be written as a sum of positive squares in 3 ways, for example, as 3873024 + 32901696 = 1968^2 + 5736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 325384 + ... + 325496.

Almost surely, 2^36774720 is an apocalyptic number.

36774720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63809499).

36774720 is an abundant number, since it is smaller than the sum of its proper divisors (90844278).

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

36774720 is a wasteful number, since it uses less digits than its factorization.

36774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 36774720 is about 6064.2163549794. The cubic root of 36774720 is about 332.5445170011.

The spelling of 36774720 in words is "thirty-six million, seven hundred seventy-four thousand, seven hundred twenty".