3138810336 has 144 divisors (see below), whose sum is σ = 9510359040. Its totient is φ = 979119360.

The previous prime is 3138810289. The next prime is 3138810347. The reversal of 3138810336 is 6330188313.

3138810336 is a `hidden beast` number, since 313 + 8 + 8 + 1 + 0 + 336 = 666.

3138810336 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3138810336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450721 + ... + 457631.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 2^3138810336 is an apocalyptic number.

3138810336 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 3138810336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

3138810336 is an abundant number, since it is smaller than the sum of its proper divisors (6371548704).

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

3138810336 is a wasteful number, since it uses less digits than its factorization.

3138810336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3138810336 is about 56025.0866665996. The cubic root of 3138810336 is about 1464.1593931981.

Adding to 3138810336 its reverse (6330188313), we get a palindrome (9468998649).

The spelling of 3138810336 in words is "three billion, one hundred thirty-eight million, eight hundred ten thousand, three hundred thirty-six".