3449213632512 has 360 divisors, whose sum is σ = 10553557612416. Its totient is φ = 1125214322688.

The previous prime is 3449213632481. The next prime is 3449213632523. The reversal of 3449213632512 is 2152363129443.

3449213632512 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 2 + 1 + 3 + 632 + 5 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 187112448 + ... + 187130880.

Almost surely, 2^{3449213632512} is an apocalyptic number.

3449213632512 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 3449213632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276778806208).

3449213632512 is an abundant number, since it is smaller than the sum of its proper divisors (7104343979904).

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

3449213632512 is an frugal number, since it uses more digits than its factorization.

3449213632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18523 (or 18485 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 3449213632512 in words is "three trillion, four hundred forty-nine billion, two hundred thirteen million, six hundred thirty-two thousand, five hundred twelve".