3884681600 has 192 divisors, whose sum is σ = 10235773440. Its totient is φ = 1453393920.

The previous prime is 3884681597. The next prime is 3884681617. The reversal of 3884681600 is 61864883.

It is a super-2 number, since 2×3884681600² = 30181502266757120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3458639 + ... + 3459761.

It is an arithmetic number, because the mean of its divisors is an integer number (53311320).

Almost surely, 2^3884681600 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 3884681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117886720).

3884681600 is an abundant number, since it is smaller than the sum of its proper divisors (6351091840).

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

3884681600 is a wasteful number, since it uses less digits than its factorization.

3884681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 3884681600 is about 62327.2139598747. The cubic root of 3884681600 is about 1571.9973497140.

The spelling of 3884681600 in words is "three billion, eight hundred eighty-four million, six hundred eighty-one thousand, six hundred".