349058730240000 has 3360 divisors, whose sum is σ = 1473868260184320. Its totient is φ = 81815961600000.

The previous prime is 349058730239993. The next prime is 349058730240097. The reversal of 349058730240000 is 42037850943.

349058730240000 is a `hidden beast` number, since 3 + 49 + 0 + 587 + 3 + 0 + 24 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×349058730240000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 318193919452 + ... + 318193920548.

It is an arithmetic number, because the mean of its divisors is an integer number (438651267912).

Almost surely, 2^{349058730240000} is an apocalyptic number.

349058730240000 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 349058730240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736934130092160).

349058730240000 is an abundant number, since it is smaller than the sum of its proper divisors (1124809529944320).

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

349058730240000 is an equidigital number, since it uses as much as digits as its factorization.

349058730240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 349058730240000 in words is "three hundred forty-nine trillion, fifty-eight billion, seven hundred thirty million, two hundred forty thousand".