3383948220 has 96 divisors (see below), whose sum is σ = 10045249536. Its totient is φ = 849657600.

The previous prime is 3383948153. The next prime is 3383948231. The reversal of 3383948220 is 228493833.

It is a super-2 number, since 2×3383948220² = 22902211111282336800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44235 + ... + 93405.

It is an arithmetic number, because the mean of its divisors is an integer number (104638016).

Almost surely, 2^3383948220 is an apocalyptic number.

3383948220 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 3383948220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022624768).

3383948220 is an abundant number, since it is smaller than the sum of its proper divisors (6661301316).

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

3383948220 is a wasteful number, since it uses less digits than its factorization.

3383948220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49251 (or 49249 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3383948220 is about 58171.7132290257. The cubic root of 3383948220 is about 1501.3244923580.

The spelling of 3383948220 in words is "three billion, three hundred eighty-three million, nine hundred forty-eight thousand, two hundred twenty".