3830713128 has 128 divisors (see below), whose sum is σ = 11674368000. Its totient is φ = 1154208960.

The previous prime is 3830713127. The next prime is 3830713199. The reversal of 3830713128 is 8213170383.

3830713128 is a `hidden beast` number, since 38 + 307 + 1 + 312 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3830713092 and 3830713101.

It is not an unprimeable number, because it can be changed into a prime (3830713123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420801 + ... + 429807.

It is an arithmetic number, because the mean of its divisors is an integer number (91206000).

Almost surely, 2^3830713128 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 3830713128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837184000).

3830713128 is an abundant number, since it is smaller than the sum of its proper divisors (7843654872).

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

3830713128 is a wasteful number, since it uses less digits than its factorization.

3830713128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3830713128 is about 61892.7550525908. The cubic root of 3830713128 is about 1564.6836459365.

The spelling of 3830713128 in words is "three billion, eight hundred thirty million, seven hundred thirteen thousand, one hundred twenty-eight".