361372368 has 80 divisors (see below), whose sum is σ = 1069681536. Its totient is φ = 102981120.

The previous prime is 361372367. The next prime is 361372379. The reversal of 361372368 is 863273163.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361372367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153730 + ... + 156062.

Almost surely, 2^361372368 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 361372368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534840768).

361372368 is an abundant number, since it is smaller than the sum of its proper divisors (708309168).

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

361372368 is a wasteful number, since it uses less digits than its factorization.

361372368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2806 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 361372368 is about 19009.7966322631. The cubic root of 361372368 is about 712.2814714253.

The spelling of 361372368 in words is "three hundred sixty-one million, three hundred seventy-two thousand, three hundred sixty-eight".