345025800 has 288 divisors, whose sum is σ = 1340539200. Its totient is φ = 77898240.

The previous prime is 345025739. The next prime is 345025801. The reversal of 345025800 is 8520543.

345025800 is a `hidden beast` number, since 34 + 50 + 2 + 580 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (345025801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1751302 + ... + 1751498.

It is an arithmetic number, because the mean of its divisors is an integer number (4654650).

Almost surely, 2^345025800 is an apocalyptic number.

345025800 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 345025800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

345025800 is an abundant number, since it is smaller than the sum of its proper divisors (995513400).

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

345025800 is a wasteful number, since it uses less digits than its factorization.

345025800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 345025800 is about 18574.8701206765. The cubic root of 345025800 is about 701.3753910388.

The spelling of 345025800 in words is "three hundred forty-five million, twenty-five thousand, eight hundred".