3395664800 has 288 divisors, whose sum is σ = 9944363520. Its totient is φ = 1117670400.

The previous prime is 3395664787. The next prime is 3395664817. The reversal of 3395664800 is 84665933.

3395664800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3845159 + ... + 3846041.

It is an arithmetic number, because the mean of its divisors is an integer number (34529040).

Almost surely, 2^3395664800 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 3395664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

3395664800 is an abundant number, since it is smaller than the sum of its proper divisors (6548698720).

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

3395664800 is a wasteful number, since it uses less digits than its factorization.

3395664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 3395664800 is about 58272.3330578071. Note that the first 3 decimals coincide. The cubic root of 3395664800 is about 1503.0552246949.

The spelling of 3395664800 in words is "three billion, three hundred ninety-five million, six hundred sixty-four thousand, eight hundred".