3381822240 has 384 divisors, whose sum is σ = 12070840320. Its totient is φ = 791347200.

The previous prime is 3381822221. The next prime is 3381822277. The reversal of 3381822240 is 422281833.

It is a super-2 number, since 2×3381822240² = 22873443325917235200, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7335610 + ... + 7336070.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^3381822240 is an apocalyptic number.

3381822240 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 3381822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035420160).

3381822240 is an abundant number, since it is smaller than the sum of its proper divisors (8689018080).

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

3381822240 is a wasteful number, since it uses less digits than its factorization.

3381822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

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

The square root of 3381822240 is about 58153.4370437380. The cubic root of 3381822240 is about 1501.0100219733.

The spelling of 3381822240 in words is "three billion, three hundred eighty-one million, eight hundred twenty-two thousand, two hundred forty".