36882240 has 112 divisors (see below), whose sum is σ = 118555008. Its totient is φ = 9713664.

The previous prime is 36882217. The next prime is 36882277. The reversal of 36882240 is 4228863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98694 + ... + 99066.

Almost surely, 2^36882240 is an apocalyptic number.

36882240 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 36882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59277504).

36882240 is an abundant number, since it is smaller than the sum of its proper divisors (81672768).

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

36882240 is a wasteful number, since it uses less digits than its factorization.

36882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 36882240 is about 6073.0750036534. The cubic root of 36882240 is about 332.8682937385.

The spelling of 36882240 in words is "thirty-six million, eight hundred eighty-two thousand, two hundred forty".