3306871620 has 288 divisors, whose sum is σ = 11569285728. Its totient is φ = 757334016.

The previous prime is 3306871591. The next prime is 3306871627. The reversal of 3306871620 is 261786033.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 254530116 + 3052341504 = 15954^2 + 55248^2 .

It is a super-2 number, since 2×3306871620² = 21870799822322848800, 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 (3306871627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3858232 + ... + 3859088.

It is an arithmetic number, because the mean of its divisors is an integer number (40171131).

Almost surely, 2^3306871620 is an apocalyptic number.

3306871620 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 3306871620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784642864).

3306871620 is an abundant number, since it is smaller than the sum of its proper divisors (8262414108).

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

3306871620 is a wasteful number, since it uses less digits than its factorization.

3306871620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3306871620 is about 57505.4051372564. The cubic root of 3306871620 is about 1489.8382209530.

The spelling of 3306871620 in words is "three billion, three hundred six million, eight hundred seventy-one thousand, six hundred twenty".