3889428480 has 288 divisors, whose sum is σ = 15408338400. Its totient is φ = 888864768.

The previous prime is 3889428463. The next prime is 3889428509. The reversal of 3889428480 is 848249883.

3889428480 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 (288).

It is a super-2 number, since 2×3889428480² = 30255307802070220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642106 + ... + 648134.

It is an arithmetic number, because the mean of its divisors is an integer number (53501175).

Almost surely, 2^3889428480 is an apocalyptic number.

3889428480 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 3889428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704169200).

3889428480 is an abundant number, since it is smaller than the sum of its proper divisors (11518909920).

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

3889428480 is a wasteful number, since it uses less digits than its factorization.

3889428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 3889428480 is about 62365.2826498846. The cubic root of 3889428480 is about 1572.6373889058.

The spelling of 3889428480 in words is "three billion, eight hundred eighty-nine million, four hundred twenty-eight thousand, four hundred eighty".