3401344200 has 96 divisors (see below), whose sum is σ = 10556020800. Its totient is φ = 906005760.

The previous prime is 3401344189. The next prime is 3401344231. The reversal of 3401344200 is 24431043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638749 + ... + 644051.

It is an arithmetic number, because the mean of its divisors is an integer number (109958550).

Almost surely, 2^3401344200 is an apocalyptic number.

3401344200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278010400).

3401344200 is an abundant number, since it is smaller than the sum of its proper divisors (7154676600).

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

3401344200 is a wasteful number, since it uses less digits than its factorization.

3401344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3401344200 is about 58321.0442293346. The cubic root of 3401344200 is about 1503.8927334563.

Adding to 3401344200 its reverse (24431043), we get a palindrome (3425775243).

The spelling of 3401344200 in words is "three billion, four hundred one million, three hundred forty-four thousand, two hundred".