3401014400 has 192 divisors, whose sum is σ = 9675720000. Its totient is φ = 1157099520.

The previous prime is 3401014387. The next prime is 3401014429. The reversal of 3401014400 is 44101043.

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, 3337091 + ... + 3338109.

It is an arithmetic number, because the mean of its divisors is an integer number (50394375).

Almost surely, 2^3401014400 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 3401014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837860000).

3401014400 is an abundant number, since it is smaller than the sum of its proper divisors (6274705600).

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

3401014400 is a wasteful number, since it uses less digits than its factorization.

3401014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3401014400 is about 58318.2167079893. The cubic root of 3401014400 is about 1503.8441252370.

Adding to 3401014400 its reverse (44101043), we get a palindrome (3445115443).

The spelling of 3401014400 in words is "three billion, four hundred one million, fourteen thousand, four hundred".