3382467200 has 384 divisors, whose sum is σ = 10199347200. Its totient is φ = 1083801600.

The previous prime is 3382467199. The next prime is 3382467233. The reversal of 3382467200 is 27642833.

It is a super-3 number, since 3×3382467200³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 26633537 + ... + 26633663.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^3382467200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

3382467200 is an abundant number, since it is smaller than the sum of its proper divisors (6816880000).

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

3382467200 is a wasteful number, since it uses less digits than its factorization.

3382467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 3382467200 is about 58158.9821093870. The cubic root of 3382467200 is about 1501.1054369911.

The spelling of 3382467200 in words is "three billion, three hundred eighty-two million, four hundred sixty-seven thousand, two hundred".