3884074848 has 192 divisors, whose sum is σ = 11989555200. Its totient is φ = 1219898880.

The previous prime is 3884074841. The next prime is 3884074891. The reversal of 3884074848 is 8484704883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3884074794 and 3884074803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884074841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3660238 + ... + 3661298.

It is an arithmetic number, because the mean of its divisors is an integer number (62445600).

Almost surely, 2^3884074848 is an apocalyptic number.

3884074848 is a gapful number since it is divisible by the number (38) 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 3884074848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994777600).

3884074848 is an abundant number, since it is smaller than the sum of its proper divisors (8105480352).

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

3884074848 is a wasteful number, since it uses less digits than its factorization.

3884074848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The square root of 3884074848 is about 62322.3462972953. The cubic root of 3884074848 is about 1571.9155015475.

The spelling of 3884074848 in words is "three billion, eight hundred eighty-four million, seventy-four thousand, eight hundred forty-eight".