36121344 has 72 divisors (see below), whose sum is σ = 109885440. Its totient is φ = 10318848.

The previous prime is 36121331. The next prime is 36121357. The reversal of 36121344 is 44312163.

It is an interprime number because it is at equal distance from previous prime (36121331) and next prime (36121357).

It is a super-3 number, since 3×36121344³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 2017 + ... + 8735.

Almost surely, 2^36121344 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 36121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54942720).

36121344 is an abundant number, since it is smaller than the sum of its proper divisors (73764096).

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

36121344 is an equidigital number, since it uses as much as digits as its factorization.

36121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6731 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 36121344 is about 6010.1034932853. The cubic root of 36121344 is about 330.5632987110.

The spelling of 36121344 in words is "thirty-six million, one hundred twenty-one thousand, three hundred forty-four".