7838841738 has 128 divisors (see below), whose sum is σ = 20547072000. Its totient is φ = 1977345216.

The previous prime is 7838841733. The next prime is 7838841757. The reversal of 7838841738 is 8371488387.

It is a super-2 number, since 2×7838841738² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7838841733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608973 + ... + 621711.

It is an arithmetic number, because the mean of its divisors is an integer number (160524000).

Almost surely, 2^7838841738 is an apocalyptic number.

7838841738 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838841738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273536000).

7838841738 is an abundant number, since it is smaller than the sum of its proper divisors (12708230262).

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

7838841738 is a wasteful number, since it uses less digits than its factorization.

7838841738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12787 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The square root of 7838841738 is about 88537.2336251817. The cubic root of 7838841738 is about 1986.4789413115.

The spelling of 7838841738 in words is "seven billion, eight hundred thirty-eight million, eight hundred forty-one thousand, seven hundred thirty-eight".