3380841024 has 224 divisors, whose sum is σ = 10323210240. Its totient is φ = 966451200.

The previous prime is 3380840993. The next prime is 3380841029. The reversal of 3380841024 is 4201480833.

It is a Cunningham number, because it is equal to 58145²-1.

It is a super-2 number, since 2×3380841024² = 22860172059122737152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3380841029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3837064 + ... + 3837944.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 2^3380841024 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 3380841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161605120).

3380841024 is an abundant number, since it is smaller than the sum of its proper divisors (6942369216).

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

3380841024 is a wasteful number, since it uses less digits than its factorization.

3380841024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3380841024 is about 58144.9999914008. Note that the first 5 decimals coincide. The cubic root of 3380841024 is about 1500.8648381630.

The spelling of 3380841024 in words is "three billion, three hundred eighty million, eight hundred forty-one thousand, twenty-four".