345888768 has 96 divisors (see below), whose sum is σ = 971006400. Its totient is φ = 109191168.

The previous prime is 345888737. The next prime is 345888791. The reversal of 345888768 is 867888543.

It is a happy number.

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 (57).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 115255 + ... + 118217.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^345888768 is an apocalyptic number.

345888768 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 345888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485503200).

345888768 is an abundant number, since it is smaller than the sum of its proper divisors (625117632).

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

345888768 is a wasteful number, since it uses less digits than its factorization.

345888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2987 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The square root of 345888768 is about 18598.0850627155. The cubic root of 345888768 is about 701.9596570999.

The spelling of 345888768 in words is "three hundred forty-five million, eight hundred eighty-eight thousand, seven hundred sixty-eight".