361360944 has 120 divisors (see below), whose sum is σ = 1187141280. Its totient is φ = 100445184.

The previous prime is 361360939. The next prime is 361360963. The reversal of 361360944 is 449063163.

361360944 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 609 + 44 = 666.

It is a super-2 number, since 2×361360944² = 261163463697142272, 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 = 361360899 and 361360908.

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, 32452 + ... + 42140.

It is an arithmetic number, because the mean of its divisors is an integer number (9892844).

Almost surely, 2^361360944 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 361360944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593570640).

361360944 is an abundant number, since it is smaller than the sum of its proper divisors (825780336).

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

361360944 is a wasteful number, since it uses less digits than its factorization.

361360944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9747 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 361360944 is about 19009.4961532388. The cubic root of 361360944 is about 712.2739656039.

The spelling of 361360944 in words is "three hundred sixty-one million, three hundred sixty thousand, nine hundred forty-four".