3449038836672 has 1792 divisors, whose sum is σ = 12968136867840. Its totient is φ = 884149862400.

The previous prime is 3449038836643. The next prime is 3449038836679. The reversal of 3449038836672 is 2766388309443.

3449038836672 is a `hidden beast` number, since 3 + 4 + 490 + 3 + 8 + 83 + 6 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449038836679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12187416243 + ... + 12187416525.

It is an arithmetic number, because the mean of its divisors is an integer number (7236683520).

Almost surely, 2^{3449038836672} is an apocalyptic number.

3449038836672 is a gapful number since it is divisible by the number (32) 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 3449038836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484068433920).

3449038836672 is an abundant number, since it is smaller than the sum of its proper divisors (9519098031168).

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

3449038836672 is a wasteful number, since it uses less digits than its factorization.

3449038836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 3449038836672 in words is "three trillion, four hundred forty-nine billion, thirty-eight million, eight hundred thirty-six thousand, six hundred seventy-two".