3502842158772 has 144 divisors (see below), whose sum is σ = 10084419072000. Its totient is φ = 1014803380800.

The previous prime is 3502842158771. The next prime is 3502842158791. The reversal of 3502842158772 is 2778512482053.

3502842158772 is a `hidden beast` number, since 3 + 5 + 0 + 284 + 215 + 87 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3502842158771) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18110697 + ... + 18303087.

It is an arithmetic number, because the mean of its divisors is an integer number (70030688000).

Almost surely, 2^{3502842158772} 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 3502842158772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042209536000).

3502842158772 is an abundant number, since it is smaller than the sum of its proper divisors (6581576913228).

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

3502842158772 is a wasteful number, since it uses less digits than its factorization.

3502842158772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194434 (or 194429 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

It can be divided in two parts, 350284 and 2158772, that added together give a square (2509056 = 1584²).

The spelling of 3502842158772 in words is "three trillion, five hundred two billion, eight hundred forty-two million, one hundred fifty-eight thousand, seven hundred seventy-two".