3382325100 has 1080 divisors, whose sum is σ = 15086221920. Its totient is φ = 638668800.

The previous prime is 3382325081. The next prime is 3382325123. The reversal of 3382325100 is 15232833.

3382325100 is a `hidden beast` number, since 338 + 2 + 325 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×3382325100² = 22880246164180020000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 116631886 + ... + 116631914.

It is an arithmetic number, because the mean of its divisors is an integer number (13968724).

Almost surely, 2^3382325100 is an apocalyptic number.

3382325100 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 3382325100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7543110960).

3382325100 is an abundant number, since it is smaller than the sum of its proper divisors (11703896820).

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

3382325100 is a wasteful number, since it uses less digits than its factorization.

3382325100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3382325100 is about 58157.7604451891. The cubic root of 3382325100 is about 1501.0844158393.

Adding to 3382325100 its reverse (15232833), we get a palindrome (3397557933).

The spelling of 3382325100 in words is "three billion, three hundred eighty-two million, three hundred twenty-five thousand, one hundred".