3830756268 has 54 divisors (see below), whose sum is σ = 9504193188. Its totient is φ = 1200662400.

The previous prime is 3830756257. The next prime is 3830756287. The reversal of 3830756268 is 8626570383.

3830756268 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3644343 + ... + 3645393.

Almost surely, 2^3830756268 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 3830756268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752096594).

3830756268 is an abundant number, since it is smaller than the sum of its proper divisors (5673436920).

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

3830756268 is a wasteful number, since it uses less digits than its factorization.

3830756268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3830756268 is about 61893.1035576663. The cubic root of 3830756268 is about 1564.6895195338.

Multiplying 3830756268 by its sum of digits (48), we get a square (183876300864 = 428808²).

The spelling of 3830756268 in words is "three billion, eight hundred thirty million, seven hundred fifty-six thousand, two hundred sixty-eight".