348797568 has 192 divisors, whose sum is σ = 1127304000. Its totient is φ = 93585408.

The previous prime is 348797567. The next prime is 348797593. The reversal of 348797568 is 865797843.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (348797563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776608 + ... + 777056.

It is an arithmetic number, because the mean of its divisors is an integer number (5871375).

Almost surely, 2^348797568 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 348797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563652000).

348797568 is an abundant number, since it is smaller than the sum of its proper divisors (778506432).

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

348797568 is a wasteful number, since it uses less digits than its factorization.

348797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 478 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 348797568 is about 18676.1229381261. The cubic root of 348797568 is about 703.9219093823.

The spelling of 348797568 in words is "three hundred forty-eight million, seven hundred ninety-seven thousand, five hundred sixty-eight".