345824688 has 80 divisors (see below), whose sum is σ = 1017006336. Its totient is φ = 100235520.

The previous prime is 345824671. The next prime is 345824701. The reversal of 345824688 is 886428543.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2095 + ... + 26382.

Almost surely, 2^345824688 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 345824688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508503168).

345824688 is an abundant number, since it is smaller than the sum of its proper divisors (671181648).

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

345824688 is a wasteful number, since it uses less digits than its factorization.

345824688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28522 (or 28516 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 345824688 is about 18596.3622249084. The cubic root of 345824688 is about 701.9163056364.

The spelling of 345824688 in words is "three hundred forty-five million, eight hundred twenty-four thousand, six hundred eighty-eight".