3282525170640 has 640 divisors, whose sum is σ = 12555482112000. Its totient is φ = 784029818880.

The previous prime is 3282525170591. The next prime is 3282525170651. The reversal of 3282525170640 is 460715252823.

3282525170640 is a `hidden beast` number, since 3 + 2 + 82 + 52 + 517 + 0 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3282525170640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168057675 + ... + 168077205.

It is an arithmetic number, because the mean of its divisors is an integer number (19617940800).

Almost surely, 2^{3282525170640} is an apocalyptic number.

3282525170640 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 3282525170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277741056000).

3282525170640 is an abundant number, since it is smaller than the sum of its proper divisors (9272956941360).

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

3282525170640 is a wasteful number, since it uses less digits than its factorization.

3282525170640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19792 (or 19780 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3282525170640 in words is "three trillion, two hundred eighty-two billion, five hundred twenty-five million, one hundred seventy thousand, six hundred forty".