3338546220 has 120 divisors (see below), whose sum is σ = 10487784384. Its totient is φ = 889035264.

The previous prime is 3338546201. The next prime is 3338546227. The reversal of 3338546220 is 226458333.

It is a happy number.

It is a super-2 number, since 2×3338546220² = 22291781726152576800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3338546227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2148964 + ... + 2150516.

Almost surely, 2^3338546220 is an apocalyptic number.

3338546220 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 3338546220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243892192).

3338546220 is an abundant number, since it is smaller than the sum of its proper divisors (7149238164).

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

3338546220 is a wasteful number, since it uses less digits than its factorization.

3338546220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3338546220 is about 57780.1542054017. The cubic root of 3338546220 is about 1494.5798784446.

The spelling of 3338546220 in words is "three billion, three hundred thirty-eight million, five hundred forty-six thousand, two hundred twenty".