345009296 has 40 divisors (see below), whose sum is σ = 720028320. Its totient is φ = 159618816.

The previous prime is 345009293. The next prime is 345009299. The reversal of 345009296 is 692900543.

It is an interprime number because it is at equal distance from previous prime (345009293) and next prime (345009299).

It is a super-3 number, since 3×345009296³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (345009293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125 + ... + 26268.

It is an arithmetic number, because the mean of its divisors is an integer number (18000708).

Almost surely, 2^345009296 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 345009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360014160).

345009296 is an abundant number, since it is smaller than the sum of its proper divisors (375019024).

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

345009296 is a wasteful number, since it uses less digits than its factorization.

345009296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26463 (or 26457 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 345009296 is about 18574.4258592291. The cubic root of 345009296 is about 701.3642076394.

The spelling of 345009296 in words is "three hundred forty-five million, nine thousand, two hundred ninety-six".