36441888 has 144 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 10160640.

The previous prime is 36441877. The next prime is 36441919. The reversal of 36441888 is 88814463.

It is a super-2 number, since 2×36441888² = 2656022402009088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286881 + ... + 287007.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^36441888 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 36441888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

36441888 is an abundant number, since it is smaller than the sum of its proper divisors (77550816).

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

36441888 is a wasteful number, since it uses less digits than its factorization.

36441888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 36441888 is about 6036.7116876657. The cubic root of 36441888 is about 331.5382364573.

The spelling of 36441888 in words is "thirty-six million, four hundred forty-one thousand, eight hundred eighty-eight".