3842433840 has 640 divisors, whose sum is σ = 15539005440. Its totient is φ = 764411904.

The previous prime is 3842433827. The next prime is 3842433871. The reversal of 3842433840 is 483342483.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39612672 + ... + 39612768.

It is an arithmetic number, because the mean of its divisors is an integer number (24279696).

Almost surely, 2^3842433840 is an apocalyptic number.

3842433840 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 3842433840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769502720).

3842433840 is an abundant number, since it is smaller than the sum of its proper divisors (11696571600).

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

3842433840 is a wasteful number, since it uses less digits than its factorization.

3842433840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 3842433840 is about 61987.3683906649. The cubic root of 3842433840 is about 1566.2778255351.

The spelling of 3842433840 in words is "three billion, eight hundred forty-two million, four hundred thirty-three thousand, eight hundred forty".