361810944 has 264 divisors, whose sum is σ = 1180251072. Its totient is φ = 105799680.

The previous prime is 361810919. The next prime is 361810961. The reversal of 361810944 is 449018163.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×361810944² = 261814318396342272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 361810899 and 361810908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359127 + ... + 4359209.

It is an arithmetic number, because the mean of its divisors is an integer number (4470648).

Almost surely, 2^361810944 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 361810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590125536).

361810944 is an abundant number, since it is smaller than the sum of its proper divisors (818440128).

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

361810944 is a wasteful number, since it uses less digits than its factorization.

361810944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 361810944 is about 19021.3286602172. The cubic root of 361810944 is about 712.5695060540.

The spelling of 361810944 in words is "three hundred sixty-one million, eight hundred ten thousand, nine hundred forty-four".