345203251600 has 135 divisors (see below), whose sum is σ = 859784013673. Its totient is φ = 133188267520.

The previous prime is 345203251511. The next prime is 345203251633. The reversal of 345203251600 is 6152302543.

It is a happy number.

The square root of 345203251600 is 587540.

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

It can be written as a sum of positive squares in 13 ways, for example, as 343363184784 + 1840066816 = 585972^2 + 42896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340772694 + ... + 340773706.

Almost surely, 2^345203251600 is an apocalyptic number.

345203251600 is the 587540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345203251600

345203251600 is an abundant number, since it is smaller than the sum of its proper divisors (514580762073).

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

345203251600 is an equidigital number, since it uses as much as digits as its factorization.

345203251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 345203251600 in words is "three hundred forty-five billion, two hundred three million, two hundred fifty-one thousand, six hundred".