3385507584 has 144 divisors (see below), whose sum is σ = 9201532032. Its totient is φ = 1104850944.

The previous prime is 3385507549. The next prime is 3385507597. The reversal of 3385507584 is 4857055833.

It is a super-2 number, since 2×3385507584² = 22923323202643034112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11027559 + ... + 11027865.

It is an arithmetic number, because the mean of its divisors is an integer number (63899528).

Almost surely, 2^3385507584 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 3385507584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600766016).

3385507584 is an abundant number, since it is smaller than the sum of its proper divisors (5816024448).

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

3385507584 is a wasteful number, since it uses less digits than its factorization.

3385507584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The square root of 3385507584 is about 58185.1147975150. The cubic root of 3385507584 is about 1501.5550663997. Note that the first 3 decimals are identical.

The spelling of 3385507584 in words is "three billion, three hundred eighty-five million, five hundred seven thousand, five hundred eighty-four".