3123166464 has 144 divisors (see below), whose sum is σ = 10075611840. Its totient is φ = 946391040.

The previous prime is 3123166463. The next prime is 3123166469. The reversal of 3123166464 is 4646613213.

3123166464 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 6 + 646 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123166463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55494 + ... + 96570.

Almost surely, 2^3123166464 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 3123166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037805920).

3123166464 is an abundant number, since it is smaller than the sum of its proper divisors (6952445376).

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

3123166464 is a wasteful number, since it uses less digits than its factorization.

3123166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41113 (or 41093 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3123166464 is about 55885.2973867009. The cubic root of 3123166464 is about 1461.7228776037.

Adding to 3123166464 its reverse (4646613213), we get a palindrome (7769779677).

The spelling of 3123166464 in words is "three billion, one hundred twenty-three million, one hundred sixty-six thousand, four hundred sixty-four".