345252600 has 576 divisors, whose sum is σ = 1504189440. Its totient is φ = 68889600.

The previous prime is 345252571. The next prime is 345252641. The reversal of 345252600 is 6252543.

345252600 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 52 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6514174 + ... + 6514226.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^345252600 is an apocalyptic number.

345252600 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 345252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752094720).

345252600 is an abundant number, since it is smaller than the sum of its proper divisors (1158936840).

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

345252600 is a wasteful number, since it uses less digits than its factorization.

345252600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 345252600 is about 18580.9741402328. The cubic root of 345252600 is about 701.5290385791.

The spelling of 345252600 in words is "three hundred forty-five million, two hundred fifty-two thousand, six hundred".