349954242660 has 288 divisors, whose sum is σ = 1177189977600. Its totient is φ = 83442078720.

The previous prime is 349954242623. The next prime is 349954242661. The reversal of 349954242660 is 66242459943.

349954242660 is a `hidden beast` number, since 3 + 4 + 99 + 542 + 4 + 2 + 6 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349954242597 and 349954242606.

It is not an unprimeable number, because it can be changed into a prime (349954242661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42072822 + ... + 42081138.

It is an arithmetic number, because the mean of its divisors is an integer number (4087465200).

Almost surely, 2^349954242660 is an apocalyptic number.

349954242660 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 349954242660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588594988800).

349954242660 is an abundant number, since it is smaller than the sum of its proper divisors (827235734940).

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

349954242660 is a wasteful number, since it uses less digits than its factorization.

349954242660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 349954242660 in words is "three hundred forty-nine billion, nine hundred fifty-four million, two hundred forty-two thousand, six hundred sixty".