3958994880 has 224 divisors, whose sum is σ = 14141378880. Its totient is φ = 1055545344.

The previous prime is 3958994873. The next prime is 3958994887. The reversal of 3958994880 is 884998593.

3958994880 is a `hidden beast` number, since 3 + 9 + 589 + 9 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3958994873) and next prime (3958994887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958994887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697012 + ... + 702668.

Almost surely, 2^3958994880 is an apocalyptic number.

3958994880 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 3958994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070689440).

3958994880 is an abundant number, since it is smaller than the sum of its proper divisors (10182384000).

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

3958994880 is an frugal number, since it uses more digits than its factorization.

3958994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The square root of 3958994880 is about 62920.5441807364. The cubic root of 3958994880 is about 1581.9581127967.

The spelling of 3958994880 in words is "three billion, nine hundred fifty-eight million, nine hundred ninety-four thousand, eight hundred eighty".