3481011238640 has 160 divisors (see below), whose sum is σ = 8778178785600. Its totient is φ = 1276137308160.

The previous prime is 3481011238597. The next prime is 3481011238651. The reversal of 3481011238640 is 468321101843.

3481011238640 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 31 ways as a sum of consecutive naturals, for example, 123037616 + ... + 123065904.

It is an arithmetic number, because the mean of its divisors is an integer number (54863617410).

Almost surely, 2^{3481011238640} 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 3481011238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389089392800).

3481011238640 is an abundant number, since it is smaller than the sum of its proper divisors (5297167546960).

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

3481011238640 is a wasteful number, since it uses less digits than its factorization.

3481011238640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29155 (or 29149 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 3481011238640 in words is "three trillion, four hundred eighty-one billion, eleven million, two hundred thirty-eight thousand, six hundred forty".