3888280416 has 96 divisors (see below), whose sum is σ = 10447678080. Its totient is φ = 1265859584.

The previous prime is 3888280411. The next prime is 3888280427. The reversal of 3888280416 is 6140828883.

3888280416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3888280411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706411 + ... + 711893.

It is an arithmetic number, because the mean of its divisors is an integer number (108829980).

Almost surely, 2^3888280416 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 3888280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223839040).

3888280416 is an abundant number, since it is smaller than the sum of its proper divisors (6559397664).

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

3888280416 is a wasteful number, since it uses less digits than its factorization.

3888280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 3888280416 is about 62356.0776187855. The cubic root of 3888280416 is about 1572.4826390023.

The spelling of 3888280416 in words is "three billion, eight hundred eighty-eight million, two hundred eighty thousand, four hundred sixteen".