3138617664 has 168 divisors, whose sum is σ = 11072530560. Its totient is φ = 827753472.

The previous prime is 3138617641. The next prime is 3138617681. The reversal of 3138617664 is 4667168313.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 22477 + ... + 82355.

It is an arithmetic number, because the mean of its divisors is an integer number (65907920).

Almost surely, 2^3138617664 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 3138617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536265280).

3138617664 is an abundant number, since it is smaller than the sum of its proper divisors (7933912896).

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

3138617664 is a wasteful number, since it uses less digits than its factorization.

3138617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59917 (or 59904 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3138617664 is about 56023.3671247989. The cubic root of 3138617664 is about 1464.1294340458.

The spelling of 3138617664 in words is "three billion, one hundred thirty-eight million, six hundred seventeen thousand, six hundred sixty-four".