3466382304 has 288 divisors, whose sum is σ = 11925107712. Its totient is φ = 870912000.

The previous prime is 3466382281. The next prime is 3466382321. The reversal of 3466382304 is 4032836643.

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 47 ways as a sum of consecutive naturals, for example, 1602984 + ... + 1605144.

It is an arithmetic number, because the mean of its divisors is an integer number (41406624).

Almost surely, 2^3466382304 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 3466382304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962553856).

3466382304 is an abundant number, since it is smaller than the sum of its proper divisors (8458725408).

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

3466382304 is a wasteful number, since it uses less digits than its factorization.

3466382304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 3466382304 is about 58875.9908961200. The cubic root of 3466382304 is about 1513.4177374484.

The spelling of 3466382304 in words is "three billion, four hundred sixty-six million, three hundred eighty-two thousand, three hundred four".