348259968 has 192 divisors, whose sum is σ = 1206129600. Its totient is φ = 94224384.

The previous prime is 348259897. The next prime is 348259991. The reversal of 348259968 is 869952843.

348259968 is a `hidden beast` number, since 3 + 48 + 2 + 599 + 6 + 8 = 666.

348259968 is nontrivially palindromic in base 11.

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

It is a super-2 number, since 2×348259968² = 242570010622722048, which contains 22 as substring.

Its product of digits (3732480) is a multiple of the sum of its prime divisors (2304).

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, 152080 + ... + 154352.

It is an arithmetic number, because the mean of its divisors is an integer number (6281925).

Almost surely, 2^348259968 is an apocalyptic number.

348259968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603064800).

348259968 is an abundant number, since it is smaller than the sum of its proper divisors (857869632).

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

348259968 is a wasteful number, since it uses less digits than its factorization.

348259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2304 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 348259968 is about 18661.7246791394. The cubic root of 348259968 is about 703.5600729446.

The spelling of 348259968 in words is "three hundred forty-eight million, two hundred fifty-nine thousand, nine hundred sixty-eight".