3918347136 has 640 divisors, whose sum is σ = 14075804160. Its totient is φ = 1068318720.

The previous prime is 3918347123. The next prime is 3918347171. The reversal of 3918347136 is 6317438193.

Its product of digits (326592) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3918347091 and 3918347100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83369065 + ... + 83369111.

It is an arithmetic number, because the mean of its divisors is an integer number (21993444).

Almost surely, 2^3918347136 is an apocalyptic number.

3918347136 is a gapful number since it is divisible by the number (36) 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 3918347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037902080).

3918347136 is an abundant number, since it is smaller than the sum of its proper divisors (10157457024).

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

3918347136 is a wasteful number, since it uses less digits than its factorization.

3918347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3918347136 is about 62596.7022773564. The cubic root of 3918347136 is about 1576.5253902072.

The spelling of 3918347136 in words is "three billion, nine hundred eighteen million, three hundred forty-seven thousand, one hundred thirty-six".