36241380 has 144 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 8269632.

The previous prime is 36241367. The next prime is 36241391. The reversal of 36241380 is 8314263.

It is a happy number.

36241380 is a `hidden beast` number, since 3 + 624 + 1 + 38 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61447 + ... + 62033.

It is an arithmetic number, because the mean of its divisors is an integer number (891800).

Almost surely, 2^36241380 is an apocalyptic number.

36241380 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 36241380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64209600).

36241380 is an abundant number, since it is smaller than the sum of its proper divisors (92177820).

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

36241380 is a wasteful number, since it uses less digits than its factorization.

36241380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36241380 is about 6020.0813947986. The cubic root of 36241380 is about 330.9290623593.

It can be divided in two parts, 3 and 6241380, that multiplied together give a triangular number (18724140 = T₆₁₁₉).

The spelling of 36241380 in words is "thirty-six million, two hundred forty-one thousand, three hundred eighty".