345273600 has 324 divisors, whose sum is σ = 1329123264. Its totient is φ = 78704640.

The previous prime is 345273581. The next prime is 345273601. The reversal of 345273600 is 6372543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345273601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940617 + ... + 940983.

Almost surely, 2^345273600 is an apocalyptic number.

345273600 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 345273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664561632).

345273600 is an abundant number, since it is smaller than the sum of its proper divisors (983849664).

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

345273600 is a wasteful number, since it uses less digits than its factorization.

345273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 345273600 is about 18581.5392258015. The cubic root of 345273600 is about 701.5432617992.

The spelling of 345273600 in words is "three hundred forty-five million, two hundred seventy-three thousand, six hundred".