361815552 has 160 divisors (see below), whose sum is σ = 1224326400. Its totient is φ = 103348224.

The previous prime is 361815551. The next prime is 361815557. The reversal of 361815552 is 255518163.

It is a happy number.

361815552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361815551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94899 + ... + 98637.

It is an arithmetic number, because the mean of its divisors is an integer number (7652040).

Almost surely, 2^361815552 is an apocalyptic number.

361815552 is a gapful number since it is divisible by the number (32) 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 361815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612163200).

361815552 is an abundant number, since it is smaller than the sum of its proper divisors (862510848).

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

361815552 is an equidigital number, since it uses as much as digits as its factorization.

361815552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3751 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 361815552 is about 19021.4497870168. The cubic root of 361815552 is about 712.5725311204.

The spelling of 361815552 in words is "three hundred sixty-one million, eight hundred fifteen thousand, five hundred fifty-two".