3481226864640 has 2304 divisors, whose sum is σ = 15374199859200. Its totient is φ = 737848590336.

The previous prime is 3481226864539. The next prime is 3481226864693. The reversal of 3481226864640 is 464686221843.

It is a happy number.

3481226864640 is a `hidden beast` number, since 3 + 4 + 81 + 2 + 26 + 86 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 22173419442 + ... + 22173419598.

It is an arithmetic number, because the mean of its divisors is an integer number (6672829800).

Almost surely, 2^{3481226864640} is an apocalyptic number.

3481226864640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481226864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687099929600).

3481226864640 is an abundant number, since it is smaller than the sum of its proper divisors (11892972994560).

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

3481226864640 is a wasteful number, since it uses less digits than its factorization.

3481226864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 3481226864640 in words is "three trillion, four hundred eighty-one billion, two hundred twenty-six million, eight hundred sixty-four thousand, six hundred forty".