3442879290060 has 768 divisors, whose sum is σ = 13444589813760. Its totient is φ = 713276928000.

The previous prime is 3442879290049. The next prime is 3442879290061. The reversal of 3442879290060 is 600929782443.

3442879290060 is a `hidden beast` number, since 3 + 4 + 428 + 79 + 2 + 90 + 0 + 60 = 666.

3442879290060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3442879290060³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3442879289979 and 3442879290006.

It is not an unprimeable number, because it can be changed into a prime (3442879290061) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 420320565 + ... + 420328755.

It is an arithmetic number, because the mean of its divisors is an integer number (17505976320).

Almost surely, 2^{3442879290060} is an apocalyptic number.

3442879290060 is a gapful number since it is divisible by the number (30) 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 3442879290060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722294906880).

3442879290060 is an abundant number, since it is smaller than the sum of its proper divisors (10001710523700).

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

3442879290060 is a wasteful number, since it uses less digits than its factorization.

3442879290060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3442879290060 in words is "three trillion, four hundred forty-two billion, eight hundred seventy-nine million, two hundred ninety thousand, sixty".