349564028352 has 336 divisors, whose sum is σ = 1172759696640. Its totient is φ = 89942814720.

The previous prime is 349564028347. The next prime is 349564028353. The reversal of 349564028352 is 253820465943.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 349564028295 and 349564028304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349564028353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17390724 + ... + 17410812.

It is an arithmetic number, because the mean of its divisors is an integer number (3490356240).

Almost surely, 2^349564028352 is an apocalyptic number.

349564028352 is a gapful number since it is divisible by the number (32) 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 349564028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586379848320).

349564028352 is an abundant number, since it is smaller than the sum of its proper divisors (823195668288).

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

349564028352 is a wasteful number, since it uses less digits than its factorization.

349564028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20240 (or 20219 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 349564028352 in words is "three hundred forty-nine billion, five hundred sixty-four million, twenty-eight thousand, three hundred fifty-two".