3251971782240 has 48 divisors (see below), whose sum is σ = 10243711115568. Its totient is φ = 867192475136.

The previous prime is 3251971782223. The next prime is 3251971782281. The reversal of 3251971782240 is 422871791523.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3387470127 + ... + 3387471086.

It is an arithmetic number, because the mean of its divisors is an integer number (213410648241).

Almost surely, 2^{3251971782240} is an apocalyptic number.

3251971782240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3251971782240 is an abundant number, since it is smaller than the sum of its proper divisors (6991739333328).

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

3251971782240 is a wasteful number, since it uses less digits than its factorization.

3251971782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774941231 (or 6774941223 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 3251971782240 in words is "three trillion, two hundred fifty-one billion, nine hundred seventy-one million, seven hundred eighty-two thousand, two hundred forty".