3384225000 has 432 divisors, whose sum is σ = 12544704900. Its totient is φ = 823680000.

The previous prime is 3384224999. The next prime is 3384225023. The reversal of 3384225000 is 5224833.

It can be written as a sum of positive squares in 18 ways, for example, as 3330905796 + 53319204 = 57714^2 + 7302^2 .

It is a super-2 number, since 2×3384225000² = 22905957701250000000, which contains 22 as substring.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 38024956 + ... + 38025044.

Almost surely, 2^3384225000 is an apocalyptic number.

3384225000 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 3384225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272352450).

3384225000 is an abundant number, since it is smaller than the sum of its proper divisors (9160479900).

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

3384225000 is a wasteful number, since it uses less digits than its factorization.

3384225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3384225000 is about 58174.0921716876. The cubic root of 3384225000 is about 1501.3654233689.

Adding to 3384225000 its reverse (5224833), we get a palindrome (3389449833).

The spelling of 3384225000 in words is "three billion, three hundred eighty-four million, two hundred twenty-five thousand".