3311033220 has 192 divisors, whose sum is σ = 11898835200. Its totient is φ = 755435520.

The previous prime is 3311033197. The next prime is 3311033221. The reversal of 3311033220 is 223301133.

3311033220 is a `hidden beast` number, since 3 + 311 + 0 + 332 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3311033193 and 3311033202.

It is not an unprimeable number, because it can be changed into a prime (3311033221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84586 + ... + 117374.

It is an arithmetic number, because the mean of its divisors is an integer number (61973100).

Almost surely, 2^3311033220 is an apocalyptic number.

3311033220 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 3311033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949417600).

3311033220 is an abundant number, since it is smaller than the sum of its proper divisors (8587801980).

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

3311033220 is a wasteful number, since it uses less digits than its factorization.

3311033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32835 (or 32827 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3311033220 is about 57541.5781848221. The cubic root of 3311033220 is about 1490.4629313928.

Adding to 3311033220 its reverse (223301133), we get a palindrome (3534334353).

It can be divided in two parts, 33 and 11033220, that added together give a triangular number (11033253 = T₄₆₉₇).

The spelling of 3311033220 in words is "three billion, three hundred eleven million, thirty-three thousand, two hundred twenty".