349129627488 has 768 divisors, whose sum is σ = 1174569984000. Its totient is φ = 100329062400.

The previous prime is 349129627471. The next prime is 349129627489. The reversal of 349129627488 is 884726921943.

349129627488 is a `hidden beast` number, since 3 + 4 + 9 + 129 + 6 + 27 + 488 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349129627489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605077056 + ... + 605077632.

It is an arithmetic number, because the mean of its divisors is an integer number (1529388000).

Almost surely, 2^349129627488 is an apocalyptic number.

349129627488 is a gapful number since it is divisible by the number (38) 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 349129627488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587284992000).

349129627488 is an abundant number, since it is smaller than the sum of its proper divisors (825440356512).

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

349129627488 is a wasteful number, since it uses less digits than its factorization.

349129627488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 702 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 349129627488 in words is "three hundred forty-nine billion, one hundred twenty-nine million, six hundred twenty-seven thousand, four hundred eighty-eight".