3828972834 has 96 divisors (see below), whose sum is σ = 9095112000. Its totient is φ = 1159546752.

The previous prime is 3828972811. The next prime is 3828972841. The reversal of 3828972834 is 4382798283.

3828972834 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 a super-2 number, since 2×3828972834² = 29322065927019983112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1555897 + ... + 1558355.

It is an arithmetic number, because the mean of its divisors is an integer number (94740750).

Almost surely, 2^3828972834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828972834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547556000).

3828972834 is an abundant number, since it is smaller than the sum of its proper divisors (5266139166).

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

3828972834 is a wasteful number, since it uses less digits than its factorization.

3828972834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2669 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3828972834 is about 61878.6945078837. The cubic root of 3828972834 is about 1564.4466646462.

The spelling of 3828972834 in words is "three billion, eight hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred thirty-four".