3884978944 has 432 divisors, whose sum is σ = 10961072640. Its totient is φ = 1338163200.

The previous prime is 3884978927. The next prime is 3884978957. The reversal of 3884978944 is 4498794883.

It is a super-2 number, since 2×3884978944² = 30186122790646710272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (55738368) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94755564 + ... + 94755604.

Almost surely, 2^3884978944 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 3884978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480536320).

3884978944 is an abundant number, since it is smaller than the sum of its proper divisors (7076093696).

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

3884978944 is a wasteful number, since it uses less digits than its factorization.

3884978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 64.

The square root of 3884978944 is about 62329.5992607044. The cubic root of 3884978944 is about 1572.0374569954.

The spelling of 3884978944 in words is "three billion, eight hundred eighty-four million, nine hundred seventy-eight thousand, nine hundred forty-four".