3385809882 has 224 divisors, whose sum is σ = 9489688320. Its totient is φ = 887047200.

The previous prime is 3385809859. The next prime is 3385809883. The reversal of 3385809882 is 2889085833.

It is a super-2 number, since 2×3385809882² = 22927417114097707848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3385809883) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 22422507 + ... + 22422657.

It is an arithmetic number, because the mean of its divisors is an integer number (42364680).

Almost surely, 2^3385809882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385809882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744844160).

3385809882 is an abundant number, since it is smaller than the sum of its proper divisors (6103878438).

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

3385809882 is an equidigital number, since it uses as much as digits as its factorization.

3385809882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 3385809882 is about 58187.7124657775. The cubic root of 3385809882 is about 1501.5997572446.

The spelling of 3385809882 in words is "three billion, three hundred eighty-five million, eight hundred nine thousand, eight hundred eighty-two".