345011328 has 192 divisors, whose sum is σ = 1069286400. Its totient is φ = 106389504.

The previous prime is 345011321. The next prime is 345011357. The reversal of 345011328 is 823110543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (345011321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547025 + ... + 1547247.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^345011328 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 345011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

345011328 is an abundant number, since it is smaller than the sum of its proper divisors (724275072).

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

345011328 is a wasteful number, since it uses less digits than its factorization.

345011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 345011328 is about 18574.4805580129. The cubic root of 345011328 is about 701.3655845774.

The spelling of 345011328 in words is "three hundred forty-five million, eleven thousand, three hundred twenty-eight".