345095856 has 160 divisors (see below), whose sum is σ = 1141593600. Its totient is φ = 97770240.

The previous prime is 345095851. The next prime is 345095899. The reversal of 345095856 is 658590543.

345095856 is a nontrivial binomial coefficient, being equal to C(26272, 2).

It is a super-2 number, since 2×345095856² = 238182299656745472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345095851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419926 + ... + 420746.

It is an arithmetic number, because the mean of its divisors is an integer number (7134960).

Almost surely, 2^345095856 is an apocalyptic number.

345095856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

345095856 is the 26271-st triangular number and also the 13136-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345095856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570796800).

345095856 is an abundant number, since it is smaller than the sum of its proper divisors (796497744).

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

345095856 is a wasteful number, since it uses less digits than its factorization.

345095856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 345095856 is about 18576.7557985780. The cubic root of 345095856 is about 701.4228582420.

The spelling of 345095856 in words is "three hundred forty-five million, ninety-five thousand, eight hundred fifty-six".