3483918694872 has 1920 divisors, whose sum is σ = 13875430947840. Its totient is φ = 803189882880.

The previous prime is 3483918694853. The next prime is 3483918694931. The reversal of 3483918694872 is 2784968193843.

3483918694872 is a `hidden beast` number, since 3 + 4 + 8 + 391 + 86 + 94 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3483918694872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13246839013 + ... + 13246839275.

It is an arithmetic number, because the mean of its divisors is an integer number (7226786952).

Almost surely, 2^{3483918694872} 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 3483918694872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937715473920).

3483918694872 is an abundant number, since it is smaller than the sum of its proper divisors (10391512252968).

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

3483918694872 is a wasteful number, since it uses less digits than its factorization.

3483918694872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 423 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 3483918694872 in words is "three trillion, four hundred eighty-three billion, nine hundred eighteen million, six hundred ninety-four thousand, eight hundred seventy-two".