345010217728 has 72 divisors (see below), whose sum is σ = 790820493120. Its totient is φ = 148568970240.

The previous prime is 345010217693. The next prime is 345010217737. The reversal of 345010217728 is 827712010543.

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, 3170650 + ... + 3277657.

It is an arithmetic number, because the mean of its divisors is an integer number (10983617960).

Almost surely, 2^345010217728 is an apocalyptic number.

345010217728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

345010217728 is an abundant number, since it is smaller than the sum of its proper divisors (445810275392).

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

345010217728 is a wasteful number, since it uses less digits than its factorization.

345010217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448353 (or 6448339 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 345010217728 in words is "three hundred forty-five billion, ten million, two hundred seventeen thousand, seven hundred twenty-eight".