3882783744 has 264 divisors, whose sum is σ = 12935074880. Its totient is φ = 1098842112.

The previous prime is 3882783743. The next prime is 3882783757. The reversal of 3882783744 is 4473872883.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882783743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8966952 + ... + 8967384.

Almost surely, 2^3882783744 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 3882783744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467537440).

3882783744 is an abundant number, since it is smaller than the sum of its proper divisors (9052291136).

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

3882783744 is a wasteful number, since it uses less digits than its factorization.

3882783744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 584 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 3882783744 is about 62311.9871613801. The cubic root of 3882783744 is about 1571.7413089458.

The spelling of 3882783744 in words is "three billion, eight hundred eighty-two million, seven hundred eighty-three thousand, seven hundred forty-four".