3364682220 has 192 divisors, whose sum is σ = 10858337280. Its totient is φ = 864345600.

The previous prime is 3364682183. The next prime is 3364682227. The reversal of 3364682220 is 222864633.

3364682220 is a `hidden beast` number, since 3 + 3 + 646 + 8 + 2 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×3364682220² = 22642172883168256800, 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 (3364682227) 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 63 ways as a sum of consecutive naturals, for example, 1836705 + ... + 1838535.

It is an arithmetic number, because the mean of its divisors is an integer number (56553840).

Almost surely, 2^3364682220 is an apocalyptic number.

3364682220 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 3364682220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429168640).

3364682220 is an abundant number, since it is smaller than the sum of its proper divisors (7493655060).

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

3364682220 is a wasteful number, since it uses less digits than its factorization.

3364682220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3364682220 is about 58005.8809087492. The cubic root of 3364682220 is about 1498.4698796853.

It can be divided in two parts, 3364 and 682220, that added together give a square (685584 = 828²).

The spelling of 3364682220 in words is "three billion, three hundred sixty-four million, six hundred eighty-two thousand, two hundred twenty".