349419081000 has 192 divisors, whose sum is σ = 1198306549440. Its totient is φ = 84707568000.

The previous prime is 349419080953. The next prime is 349419081001. The reversal of 349419081000 is 180914943.

It is a super-2 number, since 2×349419081000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 349419081000.

It is not an unprimeable number, because it can be changed into a prime (349419081001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118294 + ... + 844293.

It is an arithmetic number, because the mean of its divisors is an integer number (6241179945).

Almost surely, 2^349419081000 is an apocalyptic number.

349419081000 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 349419081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599153274720).

349419081000 is an abundant number, since it is smaller than the sum of its proper divisors (848887468440).

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

349419081000 is a wasteful number, since it uses less digits than its factorization.

349419081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962633 (or 962608 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

Adding to 349419081000 its reverse (180914943), we get a palindrome (349599995943).

The spelling of 349419081000 in words is "three hundred forty-nine billion, four hundred nineteen million, eighty-one thousand".