36870880 has 48 divisors (see below), whose sum is σ = 88240320. Its totient is φ = 14556672.

The previous prime is 36870871. The next prime is 36870893. The reversal of 36870880 is 8807863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11182 + ... + 14098.

It is an arithmetic number, because the mean of its divisors is an integer number (1838340).

Almost surely, 2^36870880 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 36870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44120160).

36870880 is an abundant number, since it is smaller than the sum of its proper divisors (51369440).

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

36870880 is a wasteful number, since it uses less digits than its factorization.

36870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 36870880 is about 6072.1396558380. The cubic root of 36870880 is about 332.8341149384.

The spelling of 36870880 in words is "thirty-six million, eight hundred seventy thousand, eight hundred eighty".