348890034600000 has 504 divisors, whose sum is σ = 1315745245039680. Its totient is φ = 88140631680000.

The previous prime is 348890034599987. The next prime is 348890034600007. The reversal of 348890034600000 is 6430098843.

348890034600000 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 9 + 0 + 0 + 34 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (348890034600007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29099269 + ... + 39300731.

It is an arithmetic number, because the mean of its divisors is an integer number (2610605644920).

Almost surely, 2^{348890034600000} is an apocalyptic number.

348890034600000 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 348890034600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657872622519840).

348890034600000 is an abundant number, since it is smaller than the sum of its proper divisors (966855210439680).

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

348890034600000 is a wasteful number, since it uses less digits than its factorization.

348890034600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201525 (or 10201492 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 348890034600000 its reverse (6430098843), we get a palindrome (348896464698843).

The spelling of 348890034600000 in words is "three hundred forty-eight trillion, eight hundred ninety billion, thirty-four million, six hundred thousand".