3828192192 has 420 divisors, whose sum is σ = 13243895280. Its totient is φ = 1088778240.

The previous prime is 3828192131. The next prime is 3828192211. The reversal of 3828192192 is 2912918283.

It is a happy number.

3828192192 is a `hidden beast` number, since 382 + 81 + 9 + 2 + 192 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10663309 + ... + 10663667.

It is an arithmetic number, because the mean of its divisors is an integer number (31533084).

Almost surely, 2^3828192192 is an apocalyptic number.

3828192192 is a gapful number since it is divisible by the number (32) 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 3828192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621947640).

3828192192 is an abundant number, since it is smaller than the sum of its proper divisors (9415703088).

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

3828192192 is a wasteful number, since it uses less digits than its factorization.

3828192192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 392 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 3828192192 is about 61872.3863447984. The cubic root of 3828192192 is about 1564.3403388479.

The spelling of 3828192192 in words is "three billion, eight hundred twenty-eight million, one hundred ninety-two thousand, one hundred ninety-two".