3873912768 has 336 divisors, whose sum is σ = 12684751872. Its totient is φ = 1129075200.

The previous prime is 3873912767. The next prime is 3873912797. The reversal of 3873912768 is 8672193783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873912761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23766255 + ... + 23766417.

Almost surely, 2^3873912768 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 3873912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342375936).

3873912768 is an abundant number, since it is smaller than the sum of its proper divisors (8810839104).

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

3873912768 is a wasteful number, since it uses less digits than its factorization.

3873912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 210 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 3873912768 is about 62240.7645197261. The cubic root of 3873912768 is about 1570.5434131184.

The spelling of 3873912768 in words is "three billion, eight hundred seventy-three million, nine hundred twelve thousand, seven hundred sixty-eight".