3345440000 has 360 divisors, whose sum is σ = 9961311360. Its totient is φ = 1096704000.

The previous prime is 3345439949. The next prime is 3345440003. The reversal of 3345440000 is 445433.

It is a happy number.

It is a super-2 number, since 2×3345440000² = 22383937587200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345440003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32479949 + ... + 32480051.

Almost surely, 2^3345440000 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 3345440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980655680).

3345440000 is an abundant number, since it is smaller than the sum of its proper divisors (6615871360).

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

3345440000 is an equidigital number, since it uses as much as digits as its factorization.

3345440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 3345440000 is about 57839.7786994383. The cubic root of 3345440000 is about 1495.6078928896.

Adding to 3345440000 its reverse (445433), we get a palindrome (3345885433).

The spelling of 3345440000 in words is "three billion, three hundred forty-five million, four hundred forty thousand".