349930169132544 has 1440 divisors, whose sum is σ = 1446623305807680. Its totient is φ = 78963891240960.

The previous prime is 349930169132543. The next prime is 349930169132567. The reversal of 349930169132544 is 445231961039943.

349930169132544 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 301 + 69 + 13 + 254 + 4 = 666.

It is a super-2 number, since 2×349930169132544² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349930169132543) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 862354852 + ... + 862760540.

It is an arithmetic number, because the mean of its divisors is an integer number (1004599517922).

Almost surely, 2^{349930169132544} is an apocalyptic number.

349930169132544 is a gapful number since it is divisible by the number (34) 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 349930169132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723311652903840).

349930169132544 is an abundant number, since it is smaller than the sum of its proper divisors (1096693136675136).

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

349930169132544 is a wasteful number, since it uses less digits than its factorization.

349930169132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405772 (or 405742 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 349930169132544 in words is "three hundred forty-nine trillion, nine hundred thirty billion, one hundred sixty-nine million, one hundred thirty-two thousand, five hundred forty-four".