345446400 has 288 divisors, whose sum is σ = 1236952080. Its totient is φ = 84541440.

The previous prime is 345446399. The next prime is 345446419. The reversal of 345446400 is 4644543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996714 + ... + 1996886.

Almost surely, 2^345446400 is an apocalyptic number.

345446400 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 345446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618476040).

345446400 is an abundant number, since it is smaller than the sum of its proper divisors (891505680).

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

345446400 is a wasteful number, since it uses less digits than its factorization.

345446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 345446400 is about 18586.1884204374. The cubic root of 345446400 is about 701.6602766899.

The spelling of 345446400 in words is "three hundred forty-five million, four hundred forty-six thousand, four hundred".