345257676 has 72 divisors (see below), whose sum is σ = 895265280. Its totient is φ = 112137696.

The previous prime is 345257659. The next prime is 345257677. The reversal of 345257676 is 676752543.

345257676 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 576 + 76 = 666.

345257676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (345257677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708705 + ... + 709191.

It is an arithmetic number, because the mean of its divisors is an integer number (12434240).

Almost surely, 2^345257676 is an apocalyptic number.

345257676 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 345257676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447632640).

345257676 is an abundant number, since it is smaller than the sum of its proper divisors (550007604).

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

345257676 is a wasteful number, since it uses less digits than its factorization.

345257676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 345257676 is about 18581.1107310623. The cubic root of 345257676 is about 701.5324765875.

The spelling of 345257676 in words is "three hundred forty-five million, two hundred fifty-seven thousand, six hundred seventy-six".