345504896 has 128 divisors (see below), whose sum is σ = 803727360. Its totient is φ = 146375680.

The previous prime is 345504877. The next prime is 345504899. The reversal of 345504896 is 698405543.

345504896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (345504899) 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, 1521935 + ... + 1522161.

It is an arithmetic number, because the mean of its divisors is an integer number (6279120).

Almost surely, 2^345504896 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 345504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401863680).

345504896 is an abundant number, since it is smaller than the sum of its proper divisors (458222464).

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

345504896 is a wasteful number, since it uses less digits than its factorization.

345504896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 345504896 is about 18587.7619954636. The cubic root of 345504896 is about 701.6998795564.

The spelling of 345504896 in words is "three hundred forty-five million, five hundred four thousand, eight hundred ninety-six".