3311132220 has 144 divisors (see below), whose sum is σ = 11253217248. Its totient is φ = 780986880.

The previous prime is 3311132219. The next prime is 3311132221. The reversal of 3311132220 is 222311133.

3311132220 is a `hidden beast` number, since 3 + 311 + 132 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (3311132219) and next prime (3311132221).

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 = 3311132193 and 3311132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311132221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50662 + ... + 95858.

It is an arithmetic number, because the mean of its divisors is an integer number (78147342).

Almost surely, 2^3311132220 is an apocalyptic number.

3311132220 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 3311132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626608624).

3311132220 is an abundant number, since it is smaller than the sum of its proper divisors (7942085028).

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

3311132220 is a wasteful number, since it uses less digits than its factorization.

3311132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45260 (or 45255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3311132220 is about 57542.4384259131. The cubic root of 3311132220 is about 1490.4777862080.

Adding to 3311132220 its reverse (222311133), we get a palindrome (3533443353).

It can be divided in two parts, 331113 and 2220, that added together give a palindrome (333333).

The spelling of 3311132220 in words is "three billion, three hundred eleven million, one hundred thirty-two thousand, two hundred twenty".