3889803456 has 756 divisors, whose sum is σ = 15319866744. Its totient is φ = 936714240.

The previous prime is 3889803419. The next prime is 3889803457. The reversal of 3889803456 is 6543089883.

It is a happy number.

3889803456 is a `hidden beast` number, since 38 + 89 + 80 + 3 + 456 = 666.

3889803456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3889803457) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58056735 + ... + 58056801.

It is an arithmetic number, because the mean of its divisors is an integer number (20264374).

Almost surely, 2^3889803456 is an apocalyptic number.

3889803456 is a gapful number since it is divisible by the number (36) 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 3889803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659933372).

3889803456 is an abundant number, since it is smaller than the sum of its proper divisors (11430063288).

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

3889803456 is a wasteful number, since it uses less digits than its factorization.

3889803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3889803456 is about 62368.2888654162. The cubic root of 3889803456 is about 1572.6879260931.

The spelling of 3889803456 in words is "three billion, eight hundred eighty-nine million, eight hundred three thousand, four hundred fifty-six".