3499855817472 has 1080 divisors, whose sum is σ = 13099818384576. Its totient is φ = 923138850816.

The previous prime is 3499855817443. The next prime is 3499855817477. The reversal of 3499855817472 is 2747185589943.

3499855817472 is a `hidden beast` number, since 3 + 4 + 9 + 98 + 5 + 58 + 17 + 472 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3499855817472.

It is not an unprimeable number, because it can be changed into a prime (3499855817477) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 915471753 + ... + 915475575.

Almost surely, 2^{3499855817472} is an apocalyptic number.

3499855817472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3499855817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549909192288).

3499855817472 is an abundant number, since it is smaller than the sum of its proper divisors (9599962567104).

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

3499855817472 is a wasteful number, since it uses less digits than its factorization.

3499855817472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3905 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 3499855817472 in words is "three trillion, four hundred ninety-nine billion, eight hundred fifty-five million, eight hundred seventeen thousand, four hundred seventy-two".