3257325754848 has 672 divisors, whose sum is σ = 11217448402272. Its totient is φ = 919683072000.

The previous prime is 3257325754801. The next prime is 3257325754889. The reversal of 3257325754848 is 8484575237523.

3257325754848 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 32 + 57 + 548 + 4 + 8 = 666.

It is a super-2 number, since 2×3257325754848² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 440592240 + ... + 440599632.

It is an arithmetic number, because the mean of its divisors is an integer number (16692631551).

Almost surely, 2^{3257325754848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3257325754848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608724201136).

3257325754848 is an abundant number, since it is smaller than the sum of its proper divisors (7960122647424).

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

3257325754848 is a wasteful number, since it uses less digits than its factorization.

3257325754848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7527 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

The spelling of 3257325754848 in words is "three trillion, two hundred fifty-seven billion, three hundred twenty-five million, seven hundred fifty-four thousand, eight hundred forty-eight".