36740900 has 72 divisors (see below), whose sum is σ = 92494080. Its totient is φ = 12407040.

The previous prime is 36740861. The next prime is 36740909. The reversal of 36740900 is 904763.

It is not an unprimeable number, because it can be changed into a prime (36740909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50741 + ... + 51459.

It is an arithmetic number, because the mean of its divisors is an integer number (1284640).

Almost surely, 2^36740900 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 36740900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247040).

36740900 is an abundant number, since it is smaller than the sum of its proper divisors (55753180).

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

36740900 is a wasteful number, since it uses less digits than its factorization.

36740900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 36740900 is about 6061.4272246724. The cubic root of 36740900 is about 332.4425438249.

The spelling of 36740900 in words is "thirty-six million, seven hundred forty thousand, nine hundred".