349627216288 has 288 divisors, whose sum is σ = 836498456640. Its totient is φ = 143309537280.

The previous prime is 349627216283. The next prime is 349627216319. The reversal of 349627216288 is 882612726943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (349627216283) 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, 1360417056 + ... + 1360417312.

It is an arithmetic number, because the mean of its divisors is an integer number (2904508530).

Almost surely, 2^349627216288 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 349627216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418249228320).

349627216288 is an abundant number, since it is smaller than the sum of its proper divisors (486871240352).

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

349627216288 is a wasteful number, since it uses less digits than its factorization.

349627216288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 58.

The spelling of 349627216288 in words is "three hundred forty-nine billion, six hundred twenty-seven million, two hundred sixteen thousand, two hundred eighty-eight".