3884332704 has 144 divisors (see below), whose sum is σ = 11977737408. Its totient is φ = 1098897408.

The previous prime is 3884332691. The next prime is 3884332723. The reversal of 3884332704 is 4072334883.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 480504 + ... + 488520.

It is an arithmetic number, because the mean of its divisors is an integer number (83178732).

Almost surely, 2^3884332704 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 3884332704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988868704).

3884332704 is an abundant number, since it is smaller than the sum of its proper divisors (8093404704).

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

3884332704 is a wasteful number, since it uses less digits than its factorization.

3884332704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3884332704 is about 62324.4149912376. The cubic root of 3884332704 is about 1571.9502862251.

The spelling of 3884332704 in words is "three billion, eight hundred eighty-four million, three hundred thirty-two thousand, seven hundred four".