3254708825280 has 672 divisors, whose sum is σ = 13054473589248. Its totient is φ = 736300646400.

The previous prime is 3254708825243. The next prime is 3254708825311. The reversal of 3254708825280 is 825288074523.

3254708825280 is a `hidden beast` number, since 32 + 5 + 4 + 7 + 0 + 8 + 82 + 528 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29819767 + ... + 29928713.

It is an arithmetic number, because the mean of its divisors is an integer number (19426299984).

Almost surely, 2^{3254708825280} is an apocalyptic number.

3254708825280 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 3254708825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527236794624).

3254708825280 is an abundant number, since it is smaller than the sum of its proper divisors (9799764763968).

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

3254708825280 is a wasteful number, since it uses less digits than its factorization.

3254708825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109045 (or 109032 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 3254708825280 in words is "three trillion, two hundred fifty-four billion, seven hundred eight million, eight hundred twenty-five thousand, two hundred eighty".