345139200 has 432 divisors, whose sum is σ = 1425846240. Its totient is φ = 78151680.

The previous prime is 345139181. The next prime is 345139211. The reversal of 345139200 is 2931543.

345139200 is a `hidden beast` number, since 3 + 451 + 3 + 9 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225547 + ... + 3225653.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2^345139200 is an apocalyptic number.

345139200 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 345139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712923120).

345139200 is an abundant number, since it is smaller than the sum of its proper divisors (1080707040).

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

345139200 is a wasteful number, since it uses less digits than its factorization.

345139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 345139200 is about 18577.9223811491. The cubic root of 345139200 is about 701.4522232228.

The spelling of 345139200 in words is "three hundred forty-five million, one hundred thirty-nine thousand, two hundred".