345878400 has 192 divisors, whose sum is σ = 1302238080. Its totient is φ = 79042560.

The previous prime is 345878399. The next prime is 345878437. The reversal of 345878400 is 4878543.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64627 + ... + 69773.

It is an arithmetic number, because the mean of its divisors is an integer number (6782490).

Almost surely, 2^345878400 is an apocalyptic number.

345878400 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 345878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651119040).

345878400 is an abundant number, since it is smaller than the sum of its proper divisors (956359680).

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

345878400 is a wasteful number, since it uses less digits than its factorization.

345878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 345878400 is about 18597.8063222521. The cubic root of 345878400 is about 701.9526432937.

The spelling of 345878400 in words is "three hundred forty-five million, eight hundred seventy-eight thousand, four hundred".