3401344000 has 88 divisors (see below), whose sum is σ = 8485928568. Its totient is φ = 1360486400.

The previous prime is 3401343991. The next prime is 3401344013. The reversal of 3401344000 is 4431043.

It can be written as a sum of positive squares in 4 ways, for example, as 94633984 + 3306710016 = 9728^2 + 57504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114714 + ... + 141286.

Almost surely, 2^3401344000 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 3401344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242964284).

3401344000 is an abundant number, since it is smaller than the sum of its proper divisors (5084584568).

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

3401344000 is an equidigital number, since it uses as much as digits as its factorization.

3401344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26608 (or 26580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3401344000 is about 58321.0425146876. The cubic root of 3401344000 is about 1503.8927039799.

Adding to 3401344000 its reverse (4431043), we get a palindrome (3405775043).

The spelling of 3401344000 in words is "three billion, four hundred one million, three hundred forty-four thousand".