345588100 has 135 divisors (see below), whose sum is σ = 892988201. Its totient is φ = 116001600.

The previous prime is 345588083. The next prime is 345588109. The reversal of 345588100 is 1885543.

The square root of 345588100 is 18590.

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

It can be written as a sum of positive squares in 7 ways, for example, as 339075396 + 6512704 = 18414^2 + 2552^2 .

It is a super-2 number, since 2×345588100² = 238862269723220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345588109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26583694 + ... + 26583706.

Almost surely, 2^345588100 is an apocalyptic number.

345588100 is the 18590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345588100

345588100 is an abundant number, since it is smaller than the sum of its proper divisors (547400101).

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

345588100 is a wasteful number, since it uses less digits than its factorization.

345588100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The cubic root of 345588100 is about 701.7562024927.

The spelling of 345588100 in words is "three hundred forty-five million, five hundred eighty-eight thousand, one hundred".