3385884288 has 128 divisors (see below), whose sum is σ = 9550872000. Its totient is φ = 1059110912.

The previous prime is 3385884287. The next prime is 3385884367. The reversal of 3385884288 is 8824885833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3385884288² = 22928424823450533888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3385884287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3322243 + ... + 3323261.

Almost surely, 2^3385884288 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 3385884288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775436000).

3385884288 is an abundant number, since it is smaller than the sum of its proper divisors (6164987712).

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

3385884288 is a wasteful number, since it uses less digits than its factorization.

3385884288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1550 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 57.

The square root of 3385884288 is about 58188.3518240550. The cubic root of 3385884288 is about 1501.6107568003.

The spelling of 3385884288 in words is "three billion, three hundred eighty-five million, eight hundred eighty-four thousand, two hundred eighty-eight".