345138368 has 56 divisors (see below), whose sum is σ = 734092512. Its totient is φ = 160579584.

The previous prime is 345138359. The next prime is 345138371. The reversal of 345138368 is 863831543.

It is a super-3 number, since 3×345138368³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51296 + ... + 57632.

Almost surely, 2^345138368 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 345138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367046256).

345138368 is an abundant number, since it is smaller than the sum of its proper divisors (388954144).

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

345138368 is a wasteful number, since it uses less digits than its factorization.

345138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6399 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 345138368 is about 18577.8999889654. The cubic root of 345138368 is about 701.4516595771.

The spelling of 345138368 in words is "three hundred forty-five million, one hundred thirty-eight thousand, three hundred sixty-eight".