3326469120 has 440 divisors, whose sum is σ = 12857927544. Its totient is φ = 817496064.

The previous prime is 3326469119. The next prime is 3326469143. The reversal of 3326469120 is 219646233.

3326469120 is a `hidden beast` number, since 3 + 3 + 2 + 646 + 9 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 3218973696 = 10368^2 + 56736^2 .

It is a super-2 number, since 2×3326469120² = 22130793612627148800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391052 + ... + 5391668.

Almost surely, 2^3326469120 is an apocalyptic number.

3326469120 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 3326469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428963772).

3326469120 is an abundant number, since it is smaller than the sum of its proper divisors (9531458424).

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

3326469120 is a wasteful number, since it uses less digits than its factorization.

3326469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3326469120 is about 57675.5504525098. The cubic root of 3326469120 is about 1492.7755002648.

The spelling of 3326469120 in words is "three billion, three hundred twenty-six million, four hundred sixty-nine thousand, one hundred twenty".