3256435455840 has 288 divisors, whose sum is σ = 12702067612416. Its totient is φ = 744212689920.

The previous prime is 3256435455829. The next prime is 3256435455857. The reversal of 3256435455840 is 485545346523.

3256435455840 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 4 + 3 + 54 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76616995 + ... + 76659485.

It is an arithmetic number, because the mean of its divisors is an integer number (44104401432).

Almost surely, 2^{3256435455840} is an apocalyptic number.

3256435455840 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 3256435455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351033806208).

3256435455840 is an abundant number, since it is smaller than the sum of its proper divisors (9445632156576).

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

3256435455840 is a wasteful number, since it uses less digits than its factorization.

3256435455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50122 (or 50111 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 3256435455840 in words is "three trillion, two hundred fifty-six billion, four hundred thirty-five million, four hundred fifty-five thousand, eight hundred forty".