36742880 has 48 divisors (see below), whose sum is σ = 87517584. Its totient is φ = 14576640.

The previous prime is 36742877. The next prime is 36742883. The reversal of 36742880 is 8824763.

It is an interprime number because it is at equal distance from previous prime (36742877) and next prime (36742883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36742883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20084 + ... + 21836.

It is an arithmetic number, because the mean of its divisors is an integer number (1823283).

Almost surely, 2^36742880 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 36742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43758792).

36742880 is an abundant number, since it is smaller than the sum of its proper divisors (50774704).

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

36742880 is a wasteful number, since it uses less digits than its factorization.

36742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 36742880 is about 6061.5905503424. The cubic root of 36742880 is about 332.4485155931.

The spelling of 36742880 in words is "thirty-six million, seven hundred forty-two thousand, eight hundred eighty".