3385807072 has 48 divisors (see below), whose sum is σ = 6924733200. Its totient is φ = 1627637760.

The previous prime is 3385807031. The next prime is 3385807079. The reversal of 3385807072 is 2707085833.

It is a super-2 number, since 2×3385807072² = 22927379057610426368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385807079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216079 + ... + 231217.

It is an arithmetic number, because the mean of its divisors is an integer number (144265275).

Almost surely, 2^3385807072 is an apocalyptic number.

3385807072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385807072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462366600).

3385807072 is an abundant number, since it is smaller than the sum of its proper divisors (3538926128).

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

3385807072 is a wasteful number, since it uses less digits than its factorization.

3385807072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419 (or 15411 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 3385807072 is about 58187.6883197812. The cubic root of 3385807072 is about 1501.5993418348.

The spelling of 3385807072 in words is "three billion, three hundred eighty-five million, eight hundred seven thousand, seventy-two".