3286523496960 has 400 divisors, whose sum is σ = 12841414784352. Its totient is φ = 796732416000.

The previous prime is 3286523496959. The next prime is 3286523496989. The reversal of 3286523496960 is 696943256823.

3286523496960 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 52 + 3 + 496 + 96 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1560535 + ... + 3001385.

Almost surely, 2^{3286523496960} is an apocalyptic number.

3286523496960 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 3286523496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420707392176).

3286523496960 is an abundant number, since it is smaller than the sum of its proper divisors (9554891287392).

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

3286523496960 is a wasteful number, since it uses less digits than its factorization.

3286523496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440897 (or 1440872 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 3286523496960 in words is "three trillion, two hundred eighty-six billion, five hundred twenty-three million, four hundred ninety-six thousand, nine hundred sixty".