349614685728 has 960 divisors, whose sum is σ = 1337065906176. Its totient is φ = 87691507200.

The previous prime is 349614685723. The next prime is 349614685787. The reversal of 349614685728 is 827586416943.

349614685728 is a `hidden beast` number, since 3 + 4 + 9 + 614 + 6 + 8 + 5 + 7 + 2 + 8 = 666.

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

Its product of digits (69672960) is a multiple of the sum of its prime factors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349614685723) 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 159 ways as a sum of consecutive naturals, for example, 748639351 + ... + 748639817.

Almost surely, 2^349614685728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349614685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668532953088).

349614685728 is an abundant number, since it is smaller than the sum of its proper divisors (987451220448).

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

349614685728 is a wasteful number, since it uses less digits than its factorization.

349614685728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 521 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 349614685728 in words is "three hundred forty-nine billion, six hundred fourteen million, six hundred eighty-five thousand, seven hundred twenty-eight".