36881440 has 48 divisors (see below), whose sum is σ = 87513048. Its totient is φ = 14688256.

The previous prime is 36881407. The next prime is 36881441. The reversal of 36881440 is 4418863.

It can be written as a sum of positive squares in 4 ways, for example, as 23309584 + 13571856 = 4828^2 + 3684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36881396 and 36881405.

It is not an unprimeable number, because it can be changed into a prime (36881441) 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, 56154 + ... + 56806.

Almost surely, 2^36881440 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 36881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43756524).

36881440 is an abundant number, since it is smaller than the sum of its proper divisors (50631608).

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

36881440 is a wasteful number, since it uses less digits than its factorization.

36881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 36881440 is about 6073.0091388043. The cubic root of 36881440 is about 332.8658870104.

The spelling of 36881440 in words is "thirty-six million, eight hundred eighty-one thousand, four hundred forty".