3325335120 has 100 divisors (see below), whose sum is σ = 11549404020. Its totient is φ = 886754304.

The previous prime is 3325335119. The next prime is 3325335163. The reversal of 3325335120 is 215335233.

3325335120 is a `hidden beast` number, since 3 + 3 + 2 + 533 + 5 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 358572096 + 2966763024 = 18936^2 + 54468^2 .

It is a super-2 number, since 2×3325335120² = 22115707320610828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 250105 + ... + 263064.

Almost surely, 2^3325335120 is an apocalyptic number.

3325335120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3325335120 is an abundant number, since it is smaller than the sum of its proper divisors (8224068900).

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

3325335120 is a wasteful number, since it uses less digits than its factorization.

3325335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513194 (or 513179 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 3325335120 is about 57665.7187590686. The cubic root of 3325335120 is about 1492.6058509306.

The spelling of 3325335120 in words is "three billion, three hundred twenty-five million, three hundred thirty-five thousand, one hundred twenty".