345391200 has 648 divisors, whose sum is σ = 1562946840. Its totient is φ = 70963200.

The previous prime is 345391199. The next prime is 345391201. The reversal of 345391200 is 2193543.

345391200 is a `hidden beast` number, since 3 + 4 + 539 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345391199) and next prime (345391201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345391201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880756 + ... + 3880844.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^345391200 is an apocalyptic number.

345391200 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 345391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781473420).

345391200 is an abundant number, since it is smaller than the sum of its proper divisors (1217555640).

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

345391200 is a wasteful number, since it uses less digits than its factorization.

345391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

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

The square root of 345391200 is about 18584.7033874636. The cubic root of 345391200 is about 701.6229011757.

The spelling of 345391200 in words is "three hundred forty-five million, three hundred ninety-one thousand, two hundred".