3482477001144 has 320 divisors, whose sum is σ = 10357542074880. Its totient is φ = 1090840608000.

The previous prime is 3482477001119. The next prime is 3482477001187. The reversal of 3482477001144 is 4411007742843.

3482477001144 is a `hidden beast` number, since 34 + 8 + 2 + 477 + 0 + 0 + 1 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3482477001144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 991874349 + ... + 991877859.

It is an arithmetic number, because the mean of its divisors is an integer number (32367318984).

Almost surely, 2^{3482477001144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482477001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178771037440).

3482477001144 is an abundant number, since it is smaller than the sum of its proper divisors (6875065073736).

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

3482477001144 is a wasteful number, since it uses less digits than its factorization.

3482477001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 3482477001144 in words is "three trillion, four hundred eighty-two billion, four hundred seventy-seven million, one thousand, one hundred forty-four".