345769728 has 144 divisors (see below), whose sum is σ = 961497600. Its totient is φ = 110223360.

The previous prime is 345769703. The next prime is 345769757. The reversal of 345769728 is 827967543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487483 + ... + 2487621.

Almost surely, 2^345769728 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 345769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480748800).

345769728 is an abundant number, since it is smaller than the sum of its proper divisors (615727872).

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

345769728 is a wasteful number, since it uses less digits than its factorization.

345769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 345769728 is about 18594.8844578287. The cubic root of 345769728 is about 701.8791197777.

The spelling of 345769728 in words is "three hundred forty-five million, seven hundred sixty-nine thousand, seven hundred twenty-eight".