345508800 has 504 divisors, whose sum is σ = 1432627056. Its totient is φ = 72253440.

The previous prime is 345508789. The next prime is 345508811. The reversal of 345508800 is 8805543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345508789) and next prime (345508811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3057544 + ... + 3057656.

It is an arithmetic number, because the mean of its divisors is an integer number (2842514).

Almost surely, 2^345508800 is an apocalyptic number.

345508800 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 345508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716313528).

345508800 is an abundant number, since it is smaller than the sum of its proper divisors (1087118256).

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

345508800 is a wasteful number, since it uses less digits than its factorization.

345508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 345508800 is about 18587.8670104991. The cubic root of 345508800 is about 701.7025224770.

The spelling of 345508800 in words is "three hundred forty-five million, five hundred eight thousand, eight hundred".