361351368 has 320 divisors, whose sum is σ = 1244073600. Its totient is φ = 95800320.

The previous prime is 361351343. The next prime is 361351379. The reversal of 361351368 is 863153163.

It is a happy number.

361351368 is a `hidden beast` number, since 3 + 613 + 5 + 1 + 36 + 8 = 666.

It is a super-2 number, since 2×361351368² = 261149622310942848, which contains 22 as substring.

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

Its product of digits (38880) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5393271 + ... + 5393337.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2^361351368 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 361351368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622036800).

361351368 is an abundant number, since it is smaller than the sum of its proper divisors (882722232).

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

361351368 is a wasteful number, since it uses less digits than its factorization.

361351368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 361351368 is about 19009.2442774562. The cubic root of 361351368 is about 712.2676738377.

The spelling of 361351368 in words is "three hundred sixty-one million, three hundred fifty-one thousand, three hundred sixty-eight".