3889008640 has 208 divisors, whose sum is σ = 10384353216. Its totient is φ = 1386086400.

The previous prime is 3889008619. The next prime is 3889008671. The reversal of 3889008640 is 468009883.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13741939 + ... + 13742221.

Almost surely, 2^3889008640 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 3889008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192176608).

3889008640 is an abundant number, since it is smaller than the sum of its proper divisors (6495344576).

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

3889008640 is a wasteful number, since it uses less digits than its factorization.

3889008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 3889008640 is about 62361.9165837613. The cubic root of 3889008640 is about 1572.5808013426.

The spelling of 3889008640 in words is "three billion, eight hundred eighty-nine million, eight thousand, six hundred forty".