3884204800 has 216 divisors, whose sum is σ = 11062340576. Its totient is φ = 1322680320.

The previous prime is 3884204791. The next prime is 3884204809. The reversal of 3884204800 is 84024883.

It is an interprime number because it is at equal distance from previous prime (3884204791) and next prime (3884204809).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3884204800.

It is not an unprimeable number, because it can be changed into a prime (3884204809) 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 23 ways as a sum of consecutive naturals, for example, 12409444 + ... + 12409756.

Almost surely, 2^3884204800 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 3884204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531170288).

3884204800 is an abundant number, since it is smaller than the sum of its proper divisors (7178135776).

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

3884204800 is a wasteful number, since it uses less digits than its factorization.

3884204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 3884204800 is about 62323.3888680646. The cubic root of 3884204800 is about 1571.9330322159.

The spelling of 3884204800 in words is "three billion, eight hundred eighty-four million, two hundred four thousand, eight hundred".