3843314396928 has 360 divisors, whose sum is σ = 11680128170480. Its totient is φ = 1256621506560.

The previous prime is 3843314396917. The next prime is 3843314396947. The reversal of 3843314396928 is 8296934133483.

3843314396928 is a `hidden beast` number, since 3 + 84 + 3 + 31 + 439 + 6 + 92 + 8 = 666.

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

It is a congruent number.

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, 479391576 + ... + 479399592.

Almost surely, 2^{3843314396928} 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 3843314396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840064085240).

3843314396928 is an abundant number, since it is smaller than the sum of its proper divisors (7836813773552).

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

3843314396928 is an equidigital number, since it uses as much as digits as its factorization.

3843314396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8462 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 3843314396928 in words is "three trillion, eight hundred forty-three billion, three hundred fourteen million, three hundred ninety-six thousand, nine hundred twenty-eight".