345278820 has 96 divisors (see below), whose sum is σ = 1016281728. Its totient is φ = 87478272.

The previous prime is 345278809. The next prime is 345278833. The reversal of 345278820 is 28872543.

345278820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93652 + ... + 97268.

It is an arithmetic number, because the mean of its divisors is an integer number (10586268).

Almost surely, 2^345278820 is an apocalyptic number.

345278820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345278820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508140864).

345278820 is an abundant number, since it is smaller than the sum of its proper divisors (671002908).

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

345278820 is a wasteful number, since it uses less digits than its factorization.

345278820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 345278820 is about 18581.6796872619. The cubic root of 345278820 is about 701.5467971958.

The spelling of 345278820 in words is "three hundred forty-five million, two hundred seventy-eight thousand, eight hundred twenty".