3034354400 has 432 divisors, whose sum is σ = 9746376192. Its totient is φ = 911232000.

The previous prime is 3034354387. The next prime is 3034354417. The reversal of 3034354400 is 44534303.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3034354400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13367087 + ... + 13367313.

It is an arithmetic number, because the mean of its divisors is an integer number (22561056).

Almost surely, 2^3034354400 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 3034354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873188096).

3034354400 is an abundant number, since it is smaller than the sum of its proper divisors (6712021792).

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

3034354400 is a wasteful number, since it uses less digits than its factorization.

3034354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 3034354400 is about 55084.9743578047. The cubic root of 3034354400 is about 1447.7339793961.

Adding to 3034354400 its reverse (44534303), we get a palindrome (3078888703).

The spelling of 3034354400 in words is "three billion, thirty-four million, three hundred fifty-four thousand, four hundred".