345400320 has 176 divisors, whose sum is σ = 1120118400. Its totient is φ = 90832896.

The previous prime is 345400313. The next prime is 345400331. The reversal of 345400320 is 23004543.

It is a happy number.

It is a super-2 number, since 2×345400320² = 238602762112204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735581 + ... + 1735779.

Almost surely, 2^345400320 is an apocalyptic number.

345400320 is a gapful number since it is divisible by the number (30) 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 345400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560059200).

345400320 is an abundant number, since it is smaller than the sum of its proper divisors (774718080).

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

345400320 is a wasteful number, since it uses less digits than its factorization.

345400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 345400320 is about 18584.9487489205. The cubic root of 345400320 is about 701.6290765353.

Adding to 345400320 its reverse (23004543), we get a palindrome (368404863).

The spelling of 345400320 in words is "three hundred forty-five million, four hundred thousand, three hundred twenty".