3481264306344 has 128 divisors (see below), whose sum is σ = 10012338777600. Its totient is φ = 997578167040.

The previous prime is 3481264306319. The next prime is 3481264306357. The reversal of 3481264306344 is 4436034621843.

It is a junction number, because it is equal to n+sod(n) for n = 3481264306293 and 3481264306302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2109354 + ... + 3378150.

It is an arithmetic number, because the mean of its divisors is an integer number (78221396700).

Almost surely, 2^{3481264306344} 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 3481264306344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006169388800).

3481264306344 is an abundant number, since it is smaller than the sum of its proper divisors (6531074471256).

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

3481264306344 is a wasteful number, since it uses less digits than its factorization.

3481264306344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269383 (or 1269379 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 3481264306344 in words is "three trillion, four hundred eighty-one billion, two hundred sixty-four million, three hundred six thousand, three hundred forty-four".