3281023514340 has 576 divisors, whose sum is σ = 12162274225920. Its totient is φ = 731984117760.

The previous prime is 3281023514323. The next prime is 3281023514341. The reversal of 3281023514340 is 434153201823.

3281023514340 is a `hidden beast` number, since 3 + 2 + 8 + 102 + 3 + 514 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3281023514295 and 3281023514304.

It is not an unprimeable number, because it can be changed into a prime (3281023514341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234201256 + ... + 234215264.

It is an arithmetic number, because the mean of its divisors is an integer number (21115059420).

Almost surely, 2^{3281023514340} is an apocalyptic number.

3281023514340 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 3281023514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081137112960).

3281023514340 is an abundant number, since it is smaller than the sum of its proper divisors (8881250711580).

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

3281023514340 is a wasteful number, since it uses less digits than its factorization.

3281023514340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3281023514340 in words is "three trillion, two hundred eighty-one billion, twenty-three million, five hundred fourteen thousand, three hundred forty".