3328809120 has 864 divisors, whose sum is σ = 15058068480. Its totient is φ = 661893120.

The previous prime is 3328809091. The next prime is 3328809131. The reversal of 3328809120 is 219088233.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×3328809120² = 22161940314790348800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17428225 + ... + 17428415.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^3328809120 is an apocalyptic number.

3328809120 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 3328809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3328809120 is an abundant number, since it is smaller than the sum of its proper divisors (11729259360).

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

3328809120 is a wasteful number, since it uses less digits than its factorization.

3328809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3328809120 is about 57695.8327784598. The cubic root of 3328809120 is about 1493.1254484925.

The spelling of 3328809120 in words is "three billion, three hundred twenty-eight million, eight hundred nine thousand, one hundred twenty".