345229640 has 96 divisors (see below), whose sum is σ = 918008640. Its totient is φ = 114456960.

The previous prime is 345229607. The next prime is 345229649. The reversal of 345229640 is 46922543.

345229640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 345229640.

It is not an unprimeable number, because it can be changed into a prime (345229649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268439 + ... + 269721.

It is an arithmetic number, because the mean of its divisors is an integer number (9562590).

Almost surely, 2^345229640 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 345229640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459004320).

345229640 is an abundant number, since it is smaller than the sum of its proper divisors (572779000).

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

345229640 is a wasteful number, since it uses less digits than its factorization.

345229640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 345229640 is about 18580.3562936775. The cubic root of 345229640 is about 701.5134871985.

The spelling of 345229640 in words is "three hundred forty-five million, two hundred twenty-nine thousand, six hundred forty".