3830248320 has 128 divisors (see below), whose sum is σ = 12227466240. Its totient is φ = 1019848704.

The previous prime is 3830248309. The next prime is 3830248327. The reversal of 3830248320 is 238420383.

It is a Cunningham number, because it is equal to 61889²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830248327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855609 + ... + 1857671.

It is an arithmetic number, because the mean of its divisors is an integer number (95527080).

Almost surely, 2^3830248320 is an apocalyptic number.

3830248320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113733120).

3830248320 is an abundant number, since it is smaller than the sum of its proper divisors (8397217920).

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

3830248320 is a wasteful number, since it uses less digits than its factorization.

3830248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3830248320 is about 61888.9999919210. Note that the first 5 decimals coincide. The cubic root of 3830248320 is about 1564.6203585999.

The spelling of 3830248320 in words is "three billion, eight hundred thirty million, two hundred forty-eight thousand, three hundred twenty".