3138689664 has 384 divisors, whose sum is σ = 10482825600. Its totient is φ = 899543040.

The previous prime is 3138689663. The next prime is 3138689681. The reversal of 3138689664 is 4669868313.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (4478976) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3138689664.

It is not an unprimeable number, because it can be changed into a prime (3138689663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35266132 + ... + 35266220.

It is an arithmetic number, because the mean of its divisors is an integer number (27299025).

Almost surely, 2^3138689664 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 3138689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241412800).

3138689664 is an abundant number, since it is smaller than the sum of its proper divisors (7344135936).

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

3138689664 is a wasteful number, since it uses less digits than its factorization.

3138689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3138689664 is about 56024.0097101234. The cubic root of 3138689664 is about 1464.1406296872.

The spelling of 3138689664 in words is "three billion, one hundred thirty-eight million, six hundred eighty-nine thousand, six hundred sixty-four".