349688914541280 has 288 divisors, whose sum is σ = 1201660347232800. Its totient is φ = 92598466744320.

The previous prime is 349688914541273. The next prime is 349688914541287. The reversal of 349688914541280 is 82145419886943.

It is a happy number.

349688914541280 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 8 + 8 + 91 + 45 + 412 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (349688914541273) and next prime (349688914541287).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×349688914541280³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 349688914541199 and 349688914541208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349688914541287) 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, 768111799 + ... + 768566921.

It is an arithmetic number, because the mean of its divisors is an integer number (4172431761225).

Almost surely, 2^{349688914541280} is an apocalyptic number.

349688914541280 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 349688914541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600830173616400).

349688914541280 is an abundant number, since it is smaller than the sum of its proper divisors (851971432691520).

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

349688914541280 is a wasteful number, since it uses less digits than its factorization.

349688914541280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458874 (or 458863 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 349688914541280 in words is "three hundred forty-nine trillion, six hundred eighty-eight billion, nine hundred fourteen million, five hundred forty-one thousand, two hundred eighty".