3288455778825 has 288 divisors, whose sum is σ = 7545563838720. Its totient is φ = 1394920396800.

The previous prime is 3288455778809. The next prime is 3288455778889. The reversal of 3288455778825 is 5288775548823.

3288455778825 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 45 + 577 + 8 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 3288455778825 - 2⁴ = 3288455778809 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39880339 + ... + 39962711.

It is an arithmetic number, because the mean of its divisors is an integer number (26199874440).

Almost surely, 2^{3288455778825} is an apocalyptic number.

3288455778825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3288455778825 is an abundant number, since it is smaller than the sum of its proper divisors (4257108059895).

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

3288455778825 is a wasteful number, since it uses less digits than its factorization.

3288455778825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82494 (or 82476 counting only the distinct ones).

The product of its digits is 1204224000, while the sum is 72.

The spelling of 3288455778825 in words is "three trillion, two hundred eighty-eight billion, four hundred fifty-five million, seven hundred seventy-eight thousand, eight hundred twenty-five".