3464005824 has 252 divisors, whose sum is σ = 10884752424. Its totient is φ = 1092123648.

The previous prime is 3464005807. The next prime is 3464005829. The reversal of 3464005824 is 4285004643.

3464005824 is a `hidden beast` number, since 3 + 4 + 640 + 0 + 5 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3464005829) 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 35 ways as a sum of consecutive naturals, for example, 5613964 + ... + 5614580.

It is an arithmetic number, because the mean of its divisors is an integer number (43193462).

Almost surely, 2^3464005824 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 3464005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442376212).

3464005824 is an abundant number, since it is smaller than the sum of its proper divisors (7420746600).

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

3464005824 is an equidigital number, since it uses as much as digits as its factorization.

3464005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3464005824 is about 58855.8053551219. The cubic root of 3464005824 is about 1513.0718024166.

The spelling of 3464005824 in words is "three billion, four hundred sixty-four million, five thousand, eight hundred twenty-four".