361352016 has 100 divisors (see below), whose sum is σ = 1056401632. Its totient is φ = 119237184.

The previous prime is 361351997. The next prime is 361352021. The reversal of 361352016 is 610253163.

361352016 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132135 + ... + 134841.

Almost surely, 2^361352016 is an apocalyptic number.

361352016 is a gapful number since it is divisible by the number (36) 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 361352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528200816).

361352016 is an abundant number, since it is smaller than the sum of its proper divisors (695049616).

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

361352016 is a wasteful number, since it uses less digits than its factorization.

361352016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 361352016 is about 19009.2613217873. The cubic root of 361352016 is about 712.2680995998.

The spelling of 361352016 in words is "three hundred sixty-one million, three hundred fifty-two thousand, sixteen".