36987280 has 60 divisors (see below), whose sum is σ = 94548636. Its totient is φ = 13446400.

The previous prime is 36987271. The next prime is 36987329. The reversal of 36987280 is 8278963.

It can be written as a sum of positive squares in 2 ways, for example, as 24285184 + 12702096 = 4928^2 + 3564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7770 + ... + 11590.

Almost surely, 2^36987280 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 36987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47274318).

36987280 is an abundant number, since it is smaller than the sum of its proper divisors (57561356).

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

36987280 is a wasteful number, since it uses less digits than its factorization.

36987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 36987280 is about 6081.7168628604. The cubic root of 36987280 is about 333.1839953267.

The spelling of 36987280 in words is "thirty-six million, nine hundred eighty-seven thousand, two hundred eighty".