3491300854944 has 864 divisors, whose sum is σ = 12906777945600. Its totient is φ = 914405345280.

The previous prime is 3491300854939. The next prime is 3491300854967. The reversal of 3491300854944 is 4494580031943.

3491300854944 is a `hidden beast` number, since 3 + 4 + 91 + 3 + 0 + 0 + 8 + 549 + 4 + 4 = 666.

3491300854944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 473778492 + ... + 473785860.

It is an arithmetic number, because the mean of its divisors is an integer number (14938400400).

Almost surely, 2^{3491300854944} 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 3491300854944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453388972800).

3491300854944 is an abundant number, since it is smaller than the sum of its proper divisors (9415477090656).

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

3491300854944 is a wasteful number, since it uses less digits than its factorization.

3491300854944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3491300854944 in words is "three trillion, four hundred ninety-one billion, three hundred million, eight hundred fifty-four thousand, nine hundred forty-four".