3283682220 has 384 divisors, whose sum is σ = 13238937600. Its totient is φ = 656169984.

The previous prime is 3283682177. The next prime is 3283682231. The reversal of 3283682220 is 222863823.

3283682220 is a `hidden beast` number, since 328 + 36 + 82 + 220 = 666.

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 127 ways as a sum of consecutive naturals, for example, 931902 + ... + 935418.

It is an arithmetic number, because the mean of its divisors is an integer number (34476400).

Almost surely, 2^3283682220 is an apocalyptic number.

3283682220 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 3283682220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619468800).

3283682220 is an abundant number, since it is smaller than the sum of its proper divisors (9955255380).

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

3283682220 is a wasteful number, since it uses less digits than its factorization.

3283682220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3283682220 is about 57303.4224108822. The cubic root of 3283682220 is about 1486.3475575309.

The spelling of 3283682220 in words is "three billion, two hundred eighty-three million, six hundred eighty-two thousand, two hundred twenty".