3341282880 has 224 divisors, whose sum is σ = 11572646400. Its totient is φ = 811819008.

The previous prime is 3341282873. The next prime is 3341282881. The reversal of 3341282880 is 882821433.

3341282880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341282880² = 22328342568362188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3341282881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984226 + ... + 987614.

It is an arithmetic number, because the mean of its divisors is an integer number (51663600).

Almost surely, 2^3341282880 is an apocalyptic number.

3341282880 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 3341282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786323200).

3341282880 is an abundant number, since it is smaller than the sum of its proper divisors (8231363520).

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

3341282880 is a wasteful number, since it uses less digits than its factorization.

3341282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 3341282880 is about 57803.8310149077. The cubic root of 3341282880 is about 1494.9881439610.

The spelling of 3341282880 in words is "three billion, three hundred forty-one million, two hundred eighty-two thousand, eight hundred eighty".