3968419840 has 288 divisors, whose sum is σ = 12100233600. Its totient is φ = 1235189760.

The previous prime is 3968419823. The next prime is 3968419841. The reversal of 3968419840 is 489148693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3968419841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5519001 + ... + 5519719.

It is an arithmetic number, because the mean of its divisors is an integer number (42014700).

Almost surely, 2^3968419840 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 3968419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050116800).

3968419840 is an abundant number, since it is smaller than the sum of its proper divisors (8131813760).

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

3968419840 is a wasteful number, since it uses less digits than its factorization.

3968419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The square root of 3968419840 is about 62995.3953872821. The cubic root of 3968419840 is about 1583.2124779653.

The spelling of 3968419840 in words is "three billion, nine hundred sixty-eight million, four hundred nineteen thousand, eight hundred forty".