3341585728 has 224 divisors, whose sum is σ = 7930847232. Its totient is φ = 1383782400.

The previous prime is 3341585719. The next prime is 3341585749. The reversal of 3341585728 is 8275851433.

It is a super-2 number, since 2×3341585728² = 22332390355146579968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25508223 + ... + 25508353.

It is an arithmetic number, because the mean of its divisors is an integer number (35405568).

Almost surely, 2^3341585728 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 3341585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965423616).

3341585728 is an abundant number, since it is smaller than the sum of its proper divisors (4589261504).

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

3341585728 is a wasteful number, since it uses less digits than its factorization.

3341585728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The square root of 3341585728 is about 57806.4505743087. The cubic root of 3341585728 is about 1495.0333102946.

The spelling of 3341585728 in words is "three billion, three hundred forty-one million, five hundred eighty-five thousand, seven hundred twenty-eight".