3481013132046 has 96 divisors (see below), whose sum is σ = 7895245438080. Its totient is φ = 1149408048096.

The previous prime is 3481013132041. The next prime is 3481013132117. The reversal of 3481013132046 is 6402313101843.

3481013132046 is a `hidden beast` number, since 3 + 481 + 0 + 1 + 3 + 132 + 0 + 46 = 666.

3481013132046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3481013132046² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3481013132046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481013132041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399790425 + ... + 399799131.

It is an arithmetic number, because the mean of its divisors is an integer number (82242139980).

Almost surely, 2^{3481013132046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481013132046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947622719040).

3481013132046 is an abundant number, since it is smaller than the sum of its proper divisors (4414232306034).

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

3481013132046 is a wasteful number, since it uses less digits than its factorization.

3481013132046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16380 (or 16368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 3481013132046 its reverse (6402313101843), we get a palindrome (9883326233889).

The spelling of 3481013132046 in words is "three trillion, four hundred eighty-one billion, thirteen million, one hundred thirty-two thousand, forty-six".