3879434947248 has 200 divisors, whose sum is σ = 12897384505632. Its totient is φ = 1102783030272.

The previous prime is 3879434947229. The next prime is 3879434947273. The reversal of 3879434947248 is 8427494349783.

3879434947248 is a `hidden beast` number, since 3 + 8 + 7 + 94 + 3 + 494 + 7 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 701836 + ... + 2872532.

Almost surely, 2^{3879434947248} 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 3879434947248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448692252816).

3879434947248 is an abundant number, since it is smaller than the sum of its proper divisors (9017949558384).

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

3879434947248 is a wasteful number, since it uses less digits than its factorization.

3879434947248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170921 (or 2170906 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 3879434947248 in words is "three trillion, eight hundred seventy-nine billion, four hundred thirty-four million, nine hundred forty-seven thousand, two hundred forty-eight".