3884107920 has 320 divisors, whose sum is σ = 15240738816. Its totient is φ = 794787840.

The previous prime is 3884107907. The next prime is 3884107921. The reversal of 3884107920 is 297014883.

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

It is not an unprimeable number, because it can be changed into a prime (3884107921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1236592 + ... + 1239728.

Almost surely, 2^3884107920 is an apocalyptic number.

3884107920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3884107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620369408).

3884107920 is an abundant number, since it is smaller than the sum of its proper divisors (11356630896).

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

3884107920 is a wasteful number, since it uses less digits than its factorization.

3884107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3884107920 is about 62322.6116269208. The cubic root of 3884107920 is about 1571.9199630339.

The spelling of 3884107920 in words is "three billion, eight hundred eighty-four million, one hundred seven thousand, nine hundred twenty".