349277246208 has 720 divisors, whose sum is σ = 1175283648000. Its totient is φ = 102256680960.

The previous prime is 349277246207. The next prime is 349277246231. The reversal of 349277246208 is 802642772943.

349277246208 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 7 + 7 + 2 + 4 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (349277246207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1461410953 + ... + 1461411191.

It is an arithmetic number, because the mean of its divisors is an integer number (1632338400).

Almost surely, 2^349277246208 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 349277246208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587641824000).

349277246208 is an abundant number, since it is smaller than the sum of its proper divisors (826006401792).

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

349277246208 is a wasteful number, since it uses less digits than its factorization.

349277246208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 349277246208 in words is "three hundred forty-nine billion, two hundred seventy-seven million, two hundred forty-six thousand, two hundred eight".