3254884486560 has 768 divisors, whose sum is σ = 13623912529920. Its totient is φ = 710096855040.

The previous prime is 3254884486531. The next prime is 3254884486571. The reversal of 3254884486560 is 656844884523.

3254884486560 is a `hidden beast` number, since 3 + 2 + 54 + 88 + 448 + 6 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 68409339 + ... + 68456901.

It is an arithmetic number, because the mean of its divisors is an integer number (17739469440).

Almost surely, 2^{3254884486560} is an apocalyptic number.

3254884486560 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 3254884486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811956264960).

3254884486560 is an abundant number, since it is smaller than the sum of its proper divisors (10369028043360).

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

3254884486560 is a wasteful number, since it uses less digits than its factorization.

3254884486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47698 (or 47684 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 3254884486560 in words is "three trillion, two hundred fifty-four billion, eight hundred eighty-four million, four hundred eighty-six thousand, five hundred sixty".