3499905658392 has 1152 divisors, whose sum is σ = 12468220128000. Its totient is φ = 910855756800.

The previous prime is 3499905658369. The next prime is 3499905658441. The reversal of 3499905658392 is 2938565099943.

3499905658392 is a `hidden beast` number, since 3 + 4 + 99 + 90 + 5 + 65 + 8 + 392 = 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 3499905658392.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 3427918842 + ... + 3427919862.

It is an arithmetic number, because the mean of its divisors is an integer number (10823107750).

Almost surely, 2^{3499905658392} 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 3499905658392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234110064000).

3499905658392 is an abundant number, since it is smaller than the sum of its proper divisors (8968314469608).

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

3499905658392 is a wasteful number, since it uses less digits than its factorization.

3499905658392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 3499905658392 in words is "three trillion, four hundred ninety-nine billion, nine hundred five million, six hundred fifty-eight thousand, three hundred ninety-two".