3389888880 has 480 divisors, whose sum is σ = 13974105600. Its totient is φ = 747242496.

The previous prime is 3389888849. The next prime is 3389888881. The reversal of 3389888880 is 888889833.

It is a super-2 number, since 2×3389888880² = 22982693237495308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389888881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3945891 + ... + 3946749.

It is an arithmetic number, because the mean of its divisors is an integer number (29112720).

Almost surely, 2^3389888880 is an apocalyptic number.

3389888880 is a gapful number since it is divisible by the number (30) 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 3389888880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987052800).

3389888880 is an abundant number, since it is smaller than the sum of its proper divisors (10584216720).

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

3389888880 is a wasteful number, since it uses less digits than its factorization.

3389888880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The square root of 3389888880 is about 58222.7522537367. The cubic root of 3389888880 is about 1502.2025243414.

The spelling of 3389888880 in words is "three billion, three hundred eighty-nine million, eight hundred eighty-eight thousand, eight hundred eighty".