3948578884584 has 480 divisors, whose sum is σ = 12573062437320. Its totient is φ = 1152822730752.

The previous prime is 3948578884553. The next prime is 3948578884589. The reversal of 3948578884584 is 4854888758493.

3948578884584 is a `hidden beast` number, since 3 + 9 + 4 + 85 + 7 + 8 + 88 + 458 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3858985224900 + 89593659684 = 1964430^2 + 299322^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (3948578884589) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 215607012 + ... + 215625324.

Almost surely, 2^{3948578884584} is an apocalyptic number.

3948578884584 is a gapful number since it is divisible by the number (34) 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 3948578884584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286531218660).

3948578884584 is an abundant number, since it is smaller than the sum of its proper divisors (8624483552736).

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

3948578884584 is a wasteful number, since it uses less digits than its factorization.

3948578884584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18431 (or 18395 counting only the distinct ones).

The product of its digits is 9909043200, while the sum is 81.

The spelling of 3948578884584 in words is "three trillion, nine hundred forty-eight billion, five hundred seventy-eight million, eight hundred eighty-four thousand, five hundred eighty-four".