3430404400 has 240 divisors, whose sum is σ = 9057232800. Its totient is φ = 1244160000.

The previous prime is 3430404377. The next prime is 3430404407. The reversal of 3430404400 is 44040343.

It is a happy number.

3430404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3430404407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31471546 + ... + 31471654.

It is an arithmetic number, because the mean of its divisors is an integer number (37738470).

Almost surely, 2^3430404400 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 3430404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528616400).

3430404400 is an abundant number, since it is smaller than the sum of its proper divisors (5626828400).

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

3430404400 is a wasteful number, since it uses less digits than its factorization.

3430404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3430404400 is about 58569.6542588395. The cubic root of 3430404400 is about 1508.1635496312.

Adding to 3430404400 its reverse (44040343), we get a palindrome (3474444743).

The spelling of 3430404400 in words is "three billion, four hundred thirty million, four hundred four thousand, four hundred".