345760608 has 96 divisors (see below), whose sum is σ = 942907392. Its totient is φ = 110822400.

The previous prime is 345760607. The next prime is 345760661. The reversal of 345760608 is 806067543.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345760601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663388 + ... + 663908.

It is an arithmetic number, because the mean of its divisors is an integer number (9821952).

Almost surely, 2^345760608 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 345760608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471453696).

345760608 is an abundant number, since it is smaller than the sum of its proper divisors (597146784).

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

345760608 is a wasteful number, since it uses less digits than its factorization.

345760608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 345760608 is about 18594.6392274763. The cubic root of 345760608 is about 701.8729488174.

The spelling of 345760608 in words is "three hundred forty-five million, seven hundred sixty thousand, six hundred eight".