345721600 has 108 divisors (see below), whose sum is σ = 978086704. Its totient is φ = 118517760.

The previous prime is 345721589. The next prime is 345721609. The reversal of 345721600 is 6127543.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (345721609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40942 + ... + 48658.

Almost surely, 2^345721600 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 345721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489043352).

345721600 is an abundant number, since it is smaller than the sum of its proper divisors (632365104).

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

345721600 is an equidigital number, since it uses as much as digits as its factorization.

345721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 345721600 is about 18593.5902934318. The cubic root of 345721600 is about 701.8465532043.

The spelling of 345721600 in words is "three hundred forty-five million, seven hundred twenty-one thousand, six hundred".