3449683313280 has 640 divisors, whose sum is σ = 13464999567360. Its totient is φ = 837867110400.

The previous prime is 3449683313267. The next prime is 3449683313281. The reversal of 3449683313280 is 823133869443.

3449683313280 is a `hidden beast` number, since 3 + 4 + 49 + 6 + 8 + 3 + 313 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3449683313281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27256545 + ... + 27382815.

It is an arithmetic number, because the mean of its divisors is an integer number (21039061824).

Almost surely, 2^{3449683313280} is an apocalyptic number.

3449683313280 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 3449683313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732499783680).

3449683313280 is an abundant number, since it is smaller than the sum of its proper divisors (10015316254080).

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

3449683313280 is a wasteful number, since it uses less digits than its factorization.

3449683313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126350 (or 126329 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3449683313280 in words is "three trillion, four hundred forty-nine billion, six hundred eighty-three million, three hundred thirteen thousand, two hundred eighty".