3481011235856 has 160 divisors (see below), whose sum is σ = 8589910781952. Its totient is φ = 1327022484480.

The previous prime is 3481011235841. The next prime is 3481011235907. The reversal of 3481011235856 is 6585321101843.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 3481011235856.

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 31 ways as a sum of consecutive naturals, for example, 327557615 + ... + 327568241.

Almost surely, 2^{3481011235856} 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 3481011235856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294955390976).

3481011235856 is an abundant number, since it is smaller than the sum of its proper divisors (5108899546096).

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

3481011235856 is a wasteful number, since it uses less digits than its factorization.

3481011235856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16357 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 3481011235856 in words is "three trillion, four hundred eighty-one billion, eleven million, two hundred thirty-five thousand, eight hundred fifty-six".