361090944 has 96 divisors (see below), whose sum is σ = 1043482440. Its totient is φ = 119854080.

The previous prime is 361090927. The next prime is 361090957. The reversal of 361090944 is 449090163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×361090944² = 260773339677622272, 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 = 361090899 and 361090908.

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 11 ways as a sum of consecutive naturals, for example, 353154 + ... + 354174.

Almost surely, 2^361090944 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 361090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521741220).

361090944 is an abundant number, since it is smaller than the sum of its proper divisors (682391496).

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

361090944 is a wasteful number, since it uses less digits than its factorization.

361090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 361090944 is about 19002.3931124477. The cubic root of 361090944 is about 712.0965235466.

The spelling of 361090944 in words is "three hundred sixty-one million, ninety thousand, nine hundred forty-four".