3842359040 has 288 divisors, whose sum is σ = 10755037440. Its totient is φ = 1306853376.

The previous prime is 3842359019. The next prime is 3842359061. The reversal of 3842359040 is 409532483.

It is an interprime number because it is at equal distance from previous prime (3842359019) and next prime (3842359061).

It is a junction number, because it is equal to n+sod(n) for n = 3842358985 and 3842359003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81752297 + ... + 81752343.

It is an arithmetic number, because the mean of its divisors is an integer number (37343880).

Almost surely, 2^3842359040 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 3842359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377518720).

3842359040 is an abundant number, since it is smaller than the sum of its proper divisors (6912678400).

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

3842359040 is an equidigital number, since it uses as much as digits as its factorization.

3842359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 3842359040 is about 61986.7650389984. The cubic root of 3842359040 is about 1566.2676619820.

The spelling of 3842359040 in words is "three billion, eight hundred forty-two million, three hundred fifty-nine thousand, forty".