345128800 has 72 divisors (see below), whose sum is σ = 879224976. Its totient is φ = 132042240.

The previous prime is 345128783. The next prime is 345128803. The reversal of 345128800 is 8821543.

It is a super-2 number, since 2×345128800² = 238227777178880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345128803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9022 + ... + 27778.

It is an arithmetic number, because the mean of its divisors is an integer number (12211458).

Almost surely, 2^345128800 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 345128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439612488).

345128800 is an abundant number, since it is smaller than the sum of its proper divisors (534096176).

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

345128800 is a wasteful number, since it uses less digits than its factorization.

345128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18800 (or 18787 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 345128800 is about 18577.6424769129. The cubic root of 345128800 is about 701.4451775860.

The spelling of 345128800 in words is "three hundred forty-five million, one hundred twenty-eight thousand, eight hundred".