345276768 has 96 divisors (see below), whose sum is σ = 936230400. Its totient is φ = 111361536.

The previous prime is 345276731. The next prime is 345276779. The reversal of 345276768 is 867672543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401523 + ... + 402381.

It is an arithmetic number, because the mean of its divisors is an integer number (9752400).

Almost surely, 2^345276768 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 345276768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468115200).

345276768 is an abundant number, since it is smaller than the sum of its proper divisors (590953632).

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

345276768 is a wasteful number, since it uses less digits than its factorization.

345276768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 345276768 is about 18581.6244715041. The cubic root of 345276768 is about 701.5454074235.

The spelling of 345276768 in words is "three hundred forty-five million, two hundred seventy-six thousand, seven hundred sixty-eight".