345600728 has 32 divisors (see below), whose sum is σ = 744120000. Its totient is φ = 148822560.

The previous prime is 345600707. The next prime is 345600763. The reversal of 345600728 is 827006543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101678 + ... + 105021.

It is an arithmetic number, because the mean of its divisors is an integer number (23253750).

Almost surely, 2^345600728 is an apocalyptic number.

345600728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

345600728 is an abundant number, since it is smaller than the sum of its proper divisors (398519272).

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

345600728 is a wasteful number, since it uses less digits than its factorization.

345600728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206735 (or 206731 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 345600728 is about 18590.3396418678. The cubic root of 345600728 is about 701.7647499219.

The spelling of 345600728 in words is "three hundred forty-five million, six hundred thousand, seven hundred twenty-eight".