3325589760 has 216 divisors, whose sum is σ = 11214201600. Its totient is φ = 839798784.

The previous prime is 3325589713. The next prime is 3325589791. The reversal of 3325589760 is 679855233.

It is a happy number.

It is a super-2 number, since 2×3325589760² = 22119094503633715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1385041 + ... + 1387439.

It is an arithmetic number, because the mean of its divisors is an integer number (51917600).

Almost surely, 2^3325589760 is an apocalyptic number.

3325589760 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 3325589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607100800).

3325589760 is an abundant number, since it is smaller than the sum of its proper divisors (7888611840).

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

3325589760 is a wasteful number, since it uses less digits than its factorization.

3325589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 3325589760 is about 57667.9266143668. The cubic root of 3325589760 is about 1492.6439490910.

The spelling of 3325589760 in words is "three billion, three hundred twenty-five million, five hundred eighty-nine thousand, seven hundred sixty".