3401414400 has 324 divisors, whose sum is σ = 11943987272. Its totient is φ = 852295680.

The previous prime is 3401414389. The next prime is 3401414413. The reversal of 3401414400 is 44141043.

3401414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5548494 + ... + 5549106.

Almost surely, 2^3401414400 is an apocalyptic number.

3401414400 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 3401414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971993636).

3401414400 is an abundant number, since it is smaller than the sum of its proper divisors (8542572872).

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

3401414400 is a wasteful number, since it uses less digits than its factorization.

3401414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3401414400 is about 58321.6460673051. The cubic root of 3401414400 is about 1503.9030796153.

Adding to 3401414400 its reverse (44141043), we get a palindrome (3445555443).

The spelling of 3401414400 in words is "three billion, four hundred one million, four hundred fourteen thousand, four hundred".