361348344 has 96 divisors (see below), whose sum is σ = 1167656400. Its totient is φ = 103239360.

The previous prime is 361348333. The next prime is 361348373. The reversal of 361348344 is 443843163.

361348344 = 2072² + 2073² + ... + 2152².

It is a happy number.

361348344 is a `hidden beast` number, since 3 + 613 + 4 + 8 + 34 + 4 = 666.

361348344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 361348299 and 361348308.

It is a congruent number.

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, 6487 + ... + 27654.

Almost surely, 2^361348344 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 361348344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583828200).

361348344 is an abundant number, since it is smaller than the sum of its proper divisors (806308056).

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

361348344 is a wasteful number, since it uses less digits than its factorization.

361348344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34170 (or 34153 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 361348344 is about 19009.1647370420. The cubic root of 361348344 is about 712.2656869411.

The spelling of 361348344 in words is "three hundred sixty-one million, three hundred forty-eight thousand, three hundred forty-four".