3890608128 has 288 divisors, whose sum is σ = 12674188800. Its totient is φ = 1139097600.

The previous prime is 3890608109. The next prime is 3890608147. The reversal of 3890608128 is 8218060983.

3890608128 is a `hidden beast` number, since 38 + 9 + 0 + 608 + 1 + 2 + 8 = 666.

3890608128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3890608109) and next prime (3890608147).

It is a tau number, because it is divible by the number of its divisors (288).

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, 6285003 + ... + 6285621.

It is an arithmetic number, because the mean of its divisors is an integer number (44007600).

Almost surely, 2^3890608128 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 3890608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337094400).

3890608128 is an abundant number, since it is smaller than the sum of its proper divisors (8783580672).

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

3890608128 is a wasteful number, since it uses less digits than its factorization.

3890608128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3890608128 is about 62374.7395024621. The cubic root of 3890608128 is about 1572.7963643643.

The spelling of 3890608128 in words is "three billion, eight hundred ninety million, six hundred eight thousand, one hundred twenty-eight".