3325471200 has 720 divisors, whose sum is σ = 13290243120. Its totient is φ = 806215680.

The previous prime is 3325471159. The next prime is 3325471207. The reversal of 3325471200 is 21745233.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3325471200² = 22117517404058880000, 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 not an unprimeable number, because it can be changed into a prime (3325471207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45554364 + ... + 45554436.

It is an arithmetic number, because the mean of its divisors is an integer number (18458671).

Almost surely, 2^3325471200 is an apocalyptic number.

3325471200 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 3325471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6645121560).

3325471200 is an abundant number, since it is smaller than the sum of its proper divisors (9964771920).

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

3325471200 is a wasteful number, since it uses less digits than its factorization.

3325471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3325471200 is about 57666.8986507858. The cubic root of 3325471200 is about 1492.6262108869.

The spelling of 3325471200 in words is "three billion, three hundred twenty-five million, four hundred seventy-one thousand, two hundred".