3842391168 has 320 divisors, whose sum is σ = 14259453120. Its totient is φ = 997816320.

The previous prime is 3842391167. The next prime is 3842391169. The reversal of 3842391168 is 8611932483.

3842391168 is a `hidden beast` number, since 384 + 23 + 91 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (3842391167) and next prime (3842391169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842391167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 795930 + ... + 800742.

It is an arithmetic number, because the mean of its divisors is an integer number (44560791).

Almost surely, 2^3842391168 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 3842391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129726560).

3842391168 is an abundant number, since it is smaller than the sum of its proper divisors (10417061952).

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

3842391168 is a wasteful number, since it uses less digits than its factorization.

3842391168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857 (or 4836 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3842391168 is about 61987.0241905514. The cubic root of 3842391168 is about 1566.2720274344.

The spelling of 3842391168 in words is "three billion, eight hundred forty-two million, three hundred ninety-one thousand, one hundred sixty-eight".