345420600 has 288 divisors, whose sum is σ = 1289203200. Its totient is φ = 76204800.

The previous prime is 345420587. The next prime is 345420611. The reversal of 345420600 is 6024543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 911211 + ... + 911589.

It is an arithmetic number, because the mean of its divisors is an integer number (4476400).

Almost surely, 2^345420600 is an apocalyptic number.

345420600 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 345420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644601600).

345420600 is an abundant number, since it is smaller than the sum of its proper divisors (943782600).

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

345420600 is a wasteful number, since it uses less digits than its factorization.

345420600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345420600 is about 18585.4943437079. The cubic root of 345420600 is about 701.6428081952.

The spelling of 345420600 in words is "three hundred forty-five million, four hundred twenty thousand, six hundred".