3261587883840 has 1344 divisors, whose sum is σ = 13464880595712. Its totient is φ = 714247372800.

The previous prime is 3261587883839. The next prime is 3261587883863. The reversal of 3261587883840 is 483887851623.

3261587883840 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 587 + 8 + 8 + 3 + 8 + 40 = 666.

3261587883840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4720097895 + ... + 4720098585.

It is an arithmetic number, because the mean of its divisors is an integer number (10018512348).

Almost surely, 2^{3261587883840} is an apocalyptic number.

3261587883840 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 3261587883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732440297856).

3261587883840 is an abundant number, since it is smaller than the sum of its proper divisors (10203292711872).

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

3261587883840 is a wasteful number, since it uses less digits than its factorization.

3261587883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 3261587883840 in words is "three trillion, two hundred sixty-one billion, five hundred eighty-seven million, eight hundred eighty-three thousand, eight hundred forty".