345317600 has 72 divisors (see below), whose sum is σ = 892630368. Its totient is φ = 129996800.

The previous prime is 345317551. The next prime is 345317603. The reversal of 345317600 is 6713543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345317603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905 + ... + 26295.

It is an arithmetic number, because the mean of its divisors is an integer number (12397644).

Almost surely, 2^345317600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446315184).

345317600 is an abundant number, since it is smaller than the sum of its proper divisors (547312768).

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

345317600 is a wasteful number, since it uses less digits than its factorization.

345317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25428 (or 25415 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 345317600 is about 18582.7231588914. The cubic root of 345317600 is about 701.5730609617.

The spelling of 345317600 in words is "three hundred forty-five million, three hundred seventeen thousand, six hundred".