348362408394 has 1008 divisors, whose sum is σ = 1119677559264. Its totient is φ = 80243654400.

The previous prime is 348362408363. The next prime is 348362408431. The reversal of 348362408394 is 493804263843.

348362408394 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 6 + 240 + 8 + 394 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 348362408394.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 5710859124 + ... + 5710859184.

Almost surely, 2^348362408394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348362408394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559838779632).

348362408394 is an abundant number, since it is smaller than the sum of its proper divisors (771315150870).

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

348362408394 is a wasteful number, since it uses less digits than its factorization.

348362408394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 348362408394 in words is "three hundred forty-eight billion, three hundred sixty-two million, four hundred eight thousand, three hundred ninety-four".