349641818220240 has 3200 divisors, whose sum is σ = 1594507334999040. Its totient is φ = 68950144843776.

The previous prime is 349641818220217. The next prime is 349641818220241. The reversal of 349641818220240 is 42022818146943.

349641818220240 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 418 + 18 + 2 + 202 + 4 + 0 = 666.

It is a super-2 number, since 2×349641818220240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349641818220241) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 350693899422 + ... + 350693900418.

Almost surely, 2^{349641818220240} is an apocalyptic number.

349641818220240 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 349641818220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797253667499520).

349641818220240 is an abundant number, since it is smaller than the sum of its proper divisors (1244865516778800).

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

349641818220240 is a wasteful number, since it uses less digits than its factorization.

349641818220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 349641818220240 in words is "three hundred forty-nine trillion, six hundred forty-one billion, eight hundred eighteen million, two hundred twenty thousand, two hundred forty".