345004000 has 96 divisors (see below), whose sum is σ = 924854112. Its totient is φ = 125440000.

The previous prime is 345003941. The next prime is 345004003. The reversal of 345004000 is 400543.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345004003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40080 + ... + 47920.

It is an arithmetic number, because the mean of its divisors is an integer number (9633897).

Almost surely, 2^345004000 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 345004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462427056).

345004000 is an abundant number, since it is smaller than the sum of its proper divisors (579850112).

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

345004000 is a wasteful number, since it uses less digits than its factorization.

345004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 345004000 is about 18574.2832970750. The cubic root of 345004000 is about 701.3606189015.

Adding to 345004000 its reverse (400543), we get a palindrome (345404543).

The spelling of 345004000 in words is "three hundred forty-five million, four thousand".