349667390197440 has 1344 divisors, whose sum is σ = 1403502556415232. Its totient is φ = 78256668672000.

The previous prime is 349667390197373. The next prime is 349667390197457. The reversal of 349667390197440 is 44791093766943.

349667390197440 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 6 + 7 + 3 + 90 + 1 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291146868840 + ... + 291146870040.

It is an arithmetic number, because the mean of its divisors is an integer number (1044272735428).

Almost surely, 2^{349667390197440} is an apocalyptic number.

349667390197440 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 349667390197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701751278207616).

349667390197440 is an abundant number, since it is smaller than the sum of its proper divisors (1053835166217792).

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

349667390197440 is a wasteful number, since it uses less digits than its factorization.

349667390197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 349667390197440 in words is "three hundred forty-nine trillion, six hundred sixty-seven billion, three hundred ninety million, one hundred ninety-seven thousand, four hundred forty".