345419856 has 80 divisors (see below), whose sum is σ = 1023505920. Its totient is φ = 111421440.

The previous prime is 345419843. The next prime is 345419891. The reversal of 345419856 is 658914543.

345419856 is a `hidden beast` number, since 3 + 454 + 198 + 5 + 6 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 496 + ... + 26288.

It is an arithmetic number, because the mean of its divisors is an integer number (12793824).

Almost surely, 2^345419856 is an apocalyptic number.

345419856 is a gapful number since it is divisible by the number (36) 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 345419856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511752960).

345419856 is an abundant number, since it is smaller than the sum of its proper divisors (678086064).

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

345419856 is a wasteful number, since it uses less digits than its factorization.

345419856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25841 (or 25829 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 345419856 is about 18585.4743280875. The cubic root of 345419856 is about 701.6423044397.

The spelling of 345419856 in words is "three hundred forty-five million, four hundred nineteen thousand, eight hundred fifty-six".