3487258391040 has 240 divisors, whose sum is σ = 12113870573376. Its totient is φ = 927124070400.

The previous prime is 3487258391033. The next prime is 3487258391051. The reversal of 3487258391040 is 401938527843.

It is a happy number.

3487258391040 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 2 + 583 + 9 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7397605 + ... + 7854875.

Almost surely, 2^{3487258391040} is an apocalyptic number.

3487258391040 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 3487258391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056935286688).

3487258391040 is an abundant number, since it is smaller than the sum of its proper divisors (8626612182336).

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

3487258391040 is a wasteful number, since it uses less digits than its factorization.

3487258391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457631 (or 457612 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3487258391040 in words is "three trillion, four hundred eighty-seven billion, two hundred fifty-eight million, three hundred ninety-one thousand, forty".