3893984640 has 1536 divisors, whose sum is σ = 19247155200. Its totient is φ = 700710912.

The previous prime is 3893984573. The next prime is 3893984651. The reversal of 3893984640 is 464893983.

It is a happy number.

3893984640 is a `hidden beast` number, since 3 + 8 + 93 + 98 + 464 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169303669 + ... + 169303691.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^3893984640 is an apocalyptic number.

3893984640 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 3893984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600).

3893984640 is an abundant number, since it is smaller than the sum of its proper divisors (15353170560).

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

3893984640 is a wasteful number, since it uses less digits than its factorization.

3893984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3893984640 is about 62401.7999740392. The cubic root of 3893984640 is about 1573.2512230122.

The spelling of 3893984640 in words is "three billion, eight hundred ninety-three million, nine hundred eighty-four thousand, six hundred forty".