3833256042 has 256 divisors, whose sum is σ = 11299737600. Its totient is φ = 940896000.

The previous prime is 3833256017. The next prime is 3833256079. The reversal of 3833256042 is 2406523383.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3833255988 and 3833256006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9559042 + ... + 9559442.

It is an arithmetic number, because the mean of its divisors is an integer number (44139600).

Almost surely, 2^3833256042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3833256042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649868800).

3833256042 is an abundant number, since it is smaller than the sum of its proper divisors (7466481558).

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

3833256042 is a wasteful number, since it uses less digits than its factorization.

3833256042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3833256042 is about 61913.2945497169. The cubic root of 3833256042 is about 1565.0297934833.

The spelling of 3833256042 in words is "three billion, eight hundred thirty-three million, two hundred fifty-six thousand, forty-two".