3883106304 has 640 divisors, whose sum is σ = 15225091200. Its totient is φ = 955514880.

The previous prime is 3883106267. The next prime is 3883106317. The reversal of 3883106304 is 4036013883.

It is a happy number.

3883106304 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 10 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204374007 + ... + 204374025.

It is an arithmetic number, because the mean of its divisors is an integer number (23789205).

Almost surely, 2^3883106304 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 3883106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612545600).

3883106304 is an abundant number, since it is smaller than the sum of its proper divisors (11341984896).

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

3883106304 is an equidigital number, since it uses as much as digits as its factorization.

3883106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3883106304 is about 62314.5753736636. The cubic root of 3883106304 is about 1571.7848315721.

The spelling of 3883106304 in words is "three billion, eight hundred eighty-three million, one hundred six thousand, three hundred four".