345967200 has 360 divisors, whose sum is σ = 1332805320. Its totient is φ = 87091200.

The previous prime is 345967189. The next prime is 345967211. The reversal of 345967200 is 2769543.

It is an interprime number because it is at equal distance from previous prime (345967189) and next prime (345967211).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1231060 + ... + 1231340.

It is an arithmetic number, because the mean of its divisors is an integer number (3702237).

Almost surely, 2^345967200 is an apocalyptic number.

345967200 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 345967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666402660).

345967200 is an abundant number, since it is smaller than the sum of its proper divisors (986838120).

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

345967200 is a wasteful number, since it uses less digits than its factorization.

345967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 345967200 is about 18600.1935473801. The cubic root of 345967200 is about 702.0127107056.

The spelling of 345967200 in words is "three hundred forty-five million, nine hundred sixty-seven thousand, two hundred".