349584768 has 256 divisors, whose sum is σ = 1151539200. Its totient is φ = 103680000.

The previous prime is 349584757. The next prime is 349584779. The reversal of 349584768 is 867485943.

349584768 is a `hidden beast` number, since 3 + 495 + 84 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (349584757) and next prime (349584779).

It is a super-2 number, since 2×349584768² = 244419020035227648, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1392643 + ... + 1392893.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^349584768 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 349584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575769600).

349584768 is an abundant number, since it is smaller than the sum of its proper divisors (801954432).

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

349584768 is a wasteful number, since it uses less digits than its factorization.

349584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 349584768 is about 18697.1860984481. The cubic root of 349584768 is about 704.4510711181.

The spelling of 349584768 in words is "three hundred forty-nine million, five hundred eighty-four thousand, seven hundred sixty-eight".