3282407517480 has 768 divisors, whose sum is σ = 12978276192000. Its totient is φ = 657311219712.

The previous prime is 3282407517463. The next prime is 3282407517551. The reversal of 3282407517480 is 847157042823.

It is a happy number.

It is a super-2 number, since 2×3282407517480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130776292 + ... + 130801388.

It is an arithmetic number, because the mean of its divisors is an integer number (16898797125).

Almost surely, 2^{3282407517480} is an apocalyptic number.

3282407517480 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 3282407517480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489138096000).

3282407517480 is an abundant number, since it is smaller than the sum of its proper divisors (9695868674520).

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

3282407517480 is a wasteful number, since it uses less digits than its factorization.

3282407517480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25226 (or 25215 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 3282407517480 in words is "three trillion, two hundred eighty-two billion, four hundred seven million, five hundred seventeen thousand, four hundred eighty".