345216400 has 45 divisors (see below), whose sum is σ = 830276131. Its totient is φ = 137937920.

The previous prime is 345216383. The next prime is 345216437. The reversal of 345216400 is 4612543.

The square root of 345216400 is 18580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 173501584 + 171714816 = 13172^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371136 + ... + 372064.

Almost surely, 2^345216400 is an apocalyptic number.

345216400 is the 18580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345216400

345216400 is an abundant number, since it is smaller than the sum of its proper divisors (485059731).

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

345216400 is an frugal number, since it uses more digits than its factorization.

345216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 345216400 is about 701.5045191028.

Multiplying 345216400 by its sum of digits (25), we get a square (8630410000 = 92900²).

345216400 divided by its sum of digits (25) gives a square (13808656 = 3716²).

Adding to 345216400 its reverse (4612543), we get a palindrome (349828943).

The spelling of 345216400 in words is "three hundred forty-five million, two hundred sixteen thousand, four hundred".