3789168138 has 144 divisors (see below), whose sum is σ = 10118740320. Its totient is φ = 1018930752.

The previous prime is 3789168137. The next prime is 3789168139. The reversal of 3789168138 is 8318619873.

It is an interprime number because it is at equal distance from previous prime (3789168137) and next prime (3789168139).

It is a Smith number, since the sum of its digits (54) 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 (3789168137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2898481 + ... + 2899787.

It is an arithmetic number, because the mean of its divisors is an integer number (70269030).

Almost surely, 2^3789168138 is an apocalyptic number.

3789168138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3789168138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059370160).

3789168138 is an abundant number, since it is smaller than the sum of its proper divisors (6329572182).

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

3789168138 is a wasteful number, since it uses less digits than its factorization.

3789168138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1511 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 3789168138 is about 61556.2193283506. The cubic root of 3789168138 is about 1559.0066185521.

The spelling of 3789168138 in words is "three billion, seven hundred eighty-nine million, one hundred sixty-eight thousand, one hundred thirty-eight".