3481623669760 has 352 divisors, whose sum is σ = 9286371072000. Its totient is φ = 1247053086720.

The previous prime is 3481623669751. The next prime is 3481623669787. The reversal of 3481623669760 is 679663261843.

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, 129660816 + ... + 129687664.

It is an arithmetic number, because the mean of its divisors is an integer number (26381736000).

Almost surely, 2^{3481623669760} 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 3481623669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643185536000).

3481623669760 is an abundant number, since it is smaller than the sum of its proper divisors (5804747402240).

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

3481623669760 is a wasteful number, since it uses less digits than its factorization.

3481623669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26967 (or 26949 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 61.

The spelling of 3481623669760 in words is "three trillion, four hundred eighty-one billion, six hundred twenty-three million, six hundred sixty-nine thousand, seven hundred sixty".