3479155481600 has 264 divisors, whose sum is σ = 9612014546160. Its totient is φ = 1240859934720.

The previous prime is 3479155481533. The next prime is 3479155481639. The reversal of 3479155481600 is 61845519743.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8058422 + ... + 8479178.

Almost surely, 2^{3479155481600} 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 3479155481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806007273080).

3479155481600 is an abundant number, since it is smaller than the sum of its proper divisors (6132859064560).

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

3479155481600 is a wasteful number, since it uses less digits than its factorization.

3479155481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420823 (or 420800 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 3479155481600 in words is "three trillion, four hundred seventy-nine billion, one hundred fifty-five million, four hundred eighty-one thousand, six hundred".