3381822720 has 216 divisors, whose sum is σ = 11974618656. Its totient is φ = 880717824.

The previous prime is 3381822671. The next prime is 3381822751. The reversal of 3381822720 is 272281833.

It is a happy number.

3381822720 is a `hidden beast` number, since 3 + 381 + 8 + 2 + 272 + 0 = 666.

It is a super-2 number, since 2×3381822720² = 22873449819016396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491947 + ... + 498773.

Almost surely, 2^3381822720 is an apocalyptic number.

3381822720 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 3381822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987309328).

3381822720 is an abundant number, since it is smaller than the sum of its proper divisors (8592795936).

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

3381822720 is a wasteful number, since it uses less digits than its factorization.

3381822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3381822720 is about 58153.4411707510. The cubic root of 3381822720 is about 1501.0100929888.

The spelling of 3381822720 in words is "three billion, three hundred eighty-one million, eight hundred twenty-two thousand, seven hundred twenty".