361371216 has 80 divisors (see below), whose sum is σ = 1005649920. Its totient is φ = 111492480.

The previous prime is 361371211. The next prime is 361371287. The reversal of 361371216 is 612173163.

361371216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361371211) 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, 28945 + ... + 39503.

It is an arithmetic number, because the mean of its divisors is an integer number (12570624).

Almost surely, 2^361371216 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 361371216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502824960).

361371216 is an abundant number, since it is smaller than the sum of its proper divisors (644278704).

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

361371216 is a wasteful number, since it uses less digits than its factorization.

361371216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10618 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 361371216 is about 19009.7663320726. The cubic root of 361371216 is about 712.2807145429.

The spelling of 361371216 in words is "three hundred sixty-one million, three hundred seventy-one thousand, two hundred sixteen".