345376 has 24 divisors (see below), whose sum is σ = 698544. Its totient is φ = 168000.

The previous prime is 345329. The next prime is 345379. The reversal of 345376 is 673543.

It is a d-powerful number, because it can be written as 3⁴ + 4⁹ + 3⁹ + 5 + 7⁵ + 6⁶ .

It is not an unprimeable number, because it can be changed into a prime (345379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251 + ... + 1501.

It is an arithmetic number, because the mean of its divisors is an integer number (29106).

2³⁴⁵³⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272).

345376 is an abundant number, since it is smaller than the sum of its proper divisors (353168).

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

345376 is a wasteful number, since it uses less digits than its factorization.

345376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 7560, while the sum is 28.

The square root of 345376 is about 587.6869915184. The cubic root of 345376 is about 70.1612608668.

It can be divided in two parts, 34537 and 6, that added together give a palindrome (34543).

The spelling of 345376 in words is "three hundred forty-five thousand, three hundred seventy-six".