3383871120 has 320 divisors, whose sum is σ = 14022912000. Its totient is φ = 732685824.

The previous prime is 3383871109. The next prime is 3383871133. The reversal of 3383871120 is 211783833.

It is a super-2 number, since 2×3383871120² = 22901167513540108800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281391 + ... + 293169.

It is an arithmetic number, because the mean of its divisors is an integer number (43821600).

Almost surely, 2^3383871120 is an apocalyptic number.

3383871120 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 3383871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011456000).

3383871120 is an abundant number, since it is smaller than the sum of its proper divisors (10639040880).

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

3383871120 is a wasteful number, since it uses less digits than its factorization.

3383871120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11827 (or 11815 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3383871120 is about 58171.0505320301. The cubic root of 3383871120 is about 1501.3130901940.

It can be divided in two parts, 3383 and 871120, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 3383871120 in words is "three billion, three hundred eighty-three million, eight hundred seventy-one thousand, one hundred twenty".