3482366517144 has 48 divisors (see below), whose sum is σ = 9780720778920. Its totient is φ = 1160788838400.

The previous prime is 3482366517143. The next prime is 3482366517193. The reversal of 3482366517144 is 4417156632843.

3482366517144 is a `hidden beast` number, since 3 + 4 + 8 + 23 + 66 + 517 + 1 + 44 = 666.

3482366517144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482366517143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 895668457 + ... + 895672344.

Almost surely, 2^{3482366517144} is an apocalyptic number.

It is an amenable number.

3482366517144 is an abundant number, since it is smaller than the sum of its proper divisors (6298354261776).

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

3482366517144 is a wasteful number, since it uses less digits than its factorization.

3482366517144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791340822 (or 1791340806 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 3482366517144 in words is "three trillion, four hundred eighty-two billion, three hundred sixty-six million, five hundred seventeen thousand, one hundred forty-four".