348361344 has 64 divisors (see below), whose sum is σ = 1028160000. Its totient is φ = 116119296.

The previous prime is 348361339. The next prime is 348361367. The reversal of 348361344 is 443163843.

It is a happy number.

348361344 is a `hidden beast` number, since 34 + 8 + 3 + 613 + 4 + 4 = 666.

348361344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 348361299 and 348361308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46944 + ... + 53855.

It is an arithmetic number, because the mean of its divisors is an integer number (16065000).

Almost surely, 2^348361344 is an apocalyptic number.

It is an amenable number.

348361344 is an abundant number, since it is smaller than the sum of its proper divisors (679798656).

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

348361344 is a wasteful number, since it uses less digits than its factorization.

348361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100822 (or 100804 counting only the distinct ones).

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

The square root of 348361344 is about 18664.4406291750. The cubic root of 348361344 is about 703.6283334329.

The spelling of 348361344 in words is "three hundred forty-eight million, three hundred sixty-one thousand, three hundred forty-four".