3473884493968 has 320 divisors, whose sum is σ = 8509731913728. Its totient is φ = 1339597946880.

The previous prime is 3473884493923. The next prime is 3473884493971. The reversal of 3473884493968 is 8693944883743.

It is a junction number, because it is equal to n+sod(n) for n = 3473884493894 and 3473884493903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3555664296 + ... + 3555665272.

Almost surely, 2^{3473884493968} 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 3473884493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254865956864).

3473884493968 is an abundant number, since it is smaller than the sum of its proper divisors (5035847419760).

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

3473884493968 is a wasteful number, since it uses less digits than its factorization.

3473884493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1704 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 76.

The spelling of 3473884493968 in words is "three trillion, four hundred seventy-three billion, eight hundred eighty-four million, four hundred ninety-three thousand, nine hundred sixty-eight".