3406444800 has 324 divisors, whose sum is σ = 12361302576. Its totient is φ = 819302400.

The previous prime is 3406444781. The next prime is 3406444801. The reversal of 3406444800 is 84446043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3406444801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26822337 + ... + 26822463.

Almost surely, 2^3406444800 is an apocalyptic number.

3406444800 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 3406444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180651288).

3406444800 is an abundant number, since it is smaller than the sum of its proper divisors (8954857776).

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

3406444800 is a wasteful number, since it uses less digits than its factorization.

3406444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3406444800 is about 58364.7564888264. The cubic root of 3406444800 is about 1504.6440956339.

Multiplying 3406444800 by its sum of digits (33), we get a square (112412678400 = 335280²).

3406444800 divided by its sum of digits (33) gives a square (103225600 = 10160²).

The spelling of 3406444800 in words is "three billion, four hundred six million, four hundred forty-four thousand, eight hundred".