3214318464 has 672 divisors, whose sum is σ = 12073933800. Its totient is φ = 846526464.

The previous prime is 3214318453. The next prime is 3214318511. The reversal of 3214318464 is 4648134123.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3214318464² = 20663686376022638592, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86873454 + ... + 86873490.

Almost surely, 2^3214318464 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 3214318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036966900).

3214318464 is an abundant number, since it is smaller than the sum of its proper divisors (8859615336).

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

3214318464 is an equidigital number, since it uses as much as digits as its factorization.

3214318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3214318464 is about 56694.9597759801. The cubic root of 3214318464 is about 1475.8072324102.

The spelling of 3214318464 in words is "three billion, two hundred fourteen million, three hundred eighteen thousand, four hundred sixty-four".