3164422464 has 560 divisors, whose sum is σ = 11565818880. Its totient is φ = 836075520.

The previous prime is 3164422463. The next prime is 3164422489. The reversal of 3164422464 is 4642244613.

3164422464 is a `hidden beast` number, since 3 + 1 + 644 + 2 + 2 + 4 + 6 + 4 = 666.

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 (3164422463) 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 79 ways as a sum of consecutive naturals, for example, 32622864 + ... + 32622960.

It is an arithmetic number, because the mean of its divisors is an integer number (20653248).

Almost surely, 2^3164422464 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 3164422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782909440).

3164422464 is an abundant number, since it is smaller than the sum of its proper divisors (8401396416).

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

3164422464 is a wasteful number, since it uses less digits than its factorization.

3164422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 3164422464 is about 56253.1995890012. The cubic root of 3164422464 is about 1468.1310358770.

The spelling of 3164422464 in words is "three billion, one hundred sixty-four million, four hundred twenty-two thousand, four hundred sixty-four".