345514400 has 288 divisors, whose sum is σ = 1079930880. Its totient is φ = 104832000.

The previous prime is 345514391. The next prime is 345514451. The reversal of 345514400 is 4415543.

It is a self number, because there is not a number n which added to its sum of digits gives 345514400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4373561 + ... + 4373639.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^345514400 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 345514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

345514400 is an abundant number, since it is smaller than the sum of its proper divisors (734416480).

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

345514400 is a wasteful number, since it uses less digits than its factorization.

345514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 345514400 is about 18588.0176457846. The cubic root of 345514400 is about 701.7063135169.

Adding to 345514400 its reverse (4415543), we get a palindrome (349929943).

The spelling of 345514400 in words is "three hundred forty-five million, five hundred fourteen thousand, four hundred".