3306395820 has 384 divisors, whose sum is σ = 12046454784. Its totient is φ = 658538496.

The previous prime is 3306395791. The next prime is 3306395849. The reversal of 3306395820 is 285936033.

It is an interprime number because it is at equal distance from previous prime (3306395791) and next prime (3306395849).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14190424 + ... + 14190656.

It is an arithmetic number, because the mean of its divisors is an integer number (31370976).

Almost surely, 2^3306395820 is an apocalyptic number.

3306395820 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 3306395820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023227392).

3306395820 is an abundant number, since it is smaller than the sum of its proper divisors (8740058964).

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

3306395820 is a wasteful number, since it uses less digits than its factorization.

3306395820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3306395820 is about 57501.2679860192. The cubic root of 3306395820 is about 1489.7667637867.

The spelling of 3306395820 in words is "three billion, three hundred six million, three hundred ninety-five thousand, eight hundred twenty".