3251294832240 has 1920 divisors, whose sum is σ = 14769768960000. Its totient is φ = 655580749824.

The previous prime is 3251294832199. The next prime is 3251294832259. The reversal of 3251294832240 is 422384921523.

3251294832240 is a `hidden beast` number, since 3 + 2 + 5 + 129 + 483 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2879799996 + ... + 2879801124.

It is an arithmetic number, because the mean of its divisors is an integer number (7692588000).

Almost surely, 2^{3251294832240} is an apocalyptic number.

3251294832240 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 3251294832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384884480000).

3251294832240 is an abundant number, since it is smaller than the sum of its proper divisors (11518474127760).

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

3251294832240 is a wasteful number, since it uses less digits than its factorization.

3251294832240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3251294832240 in words is "three trillion, two hundred fifty-one billion, two hundred ninety-four million, eight hundred thirty-two thousand, two hundred forty".