349026943248 has 200 divisors, whose sum is σ = 1028470095576. Its totient is φ = 114242918400.

The previous prime is 349026943229. The next prime is 349026943249. The reversal of 349026943248 is 842349620943.

349026943248 is a `hidden beast` number, since 3 + 490 + 26 + 94 + 3 + 2 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4143239424 + 344883703824 = 64368^2 + 587268^2 .

It is a super-2 number, since 2×349026943248² (a number of 24 digits) contains 22 as substring.

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 = 349026943194 and 349026943203.

It is not an unprimeable number, because it can be changed into a prime (349026943249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51620188 + ... + 51626948.

Almost surely, 2^349026943248 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 349026943248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514235047788).

349026943248 is an abundant number, since it is smaller than the sum of its proper divisors (679443152328).

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

349026943248 is a wasteful number, since it uses less digits than its factorization.

349026943248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 349026943248 in words is "three hundred forty-nine billion, twenty-six million, nine hundred forty-three thousand, two hundred forty-eight".