3446048878272 has 2352 divisors, whose sum is σ = 14292140470272. Its totient is φ = 809843650560.

The previous prime is 3446048878201. The next prime is 3446048878297. The reversal of 3446048878272 is 2728788406443.

It is a happy number.

3446048878272 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 0 + 488 + 7 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 27134243073 + ... + 27134243199.

It is an arithmetic number, because the mean of its divisors is an integer number (6076590336).

Almost surely, 2^{3446048878272} is an apocalyptic number.

3446048878272 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 3446048878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146070235136).

3446048878272 is an abundant number, since it is smaller than the sum of its proper divisors (10846091592000).

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

3446048878272 is a wasteful number, since it uses less digits than its factorization.

3446048878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 3446048878272 in words is "three trillion, four hundred forty-six billion, forty-eight million, eight hundred seventy-eight thousand, two hundred seventy-two".