349486555968 has 336 divisors, whose sum is σ = 1158594031296. Its totient is φ = 99545825280.

The previous prime is 349486555963. The next prime is 349486555969. The reversal of 349486555968 is 869555684943.

It is a happy number.

349486555968 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 8 + 6 + 5 + 559 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 349486555896 and 349486555905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349486555963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109110655 + ... + 109113857.

Almost surely, 2^349486555968 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 349486555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579297015648).

349486555968 is an abundant number, since it is smaller than the sum of its proper divisors (809107475328).

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

349486555968 is a wasteful number, since it uses less digits than its factorization.

349486555968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4249 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 72.

The spelling of 349486555968 in words is "three hundred forty-nine billion, four hundred eighty-six million, five hundred fifty-five thousand, nine hundred sixty-eight".