349779271680 has 448 divisors, whose sum is σ = 1248463238400. Its totient is φ = 92909076480.

The previous prime is 349779271679. The next prime is 349779271693. The reversal of 349779271680 is 86172977943.

349779271680 is a `hidden beast` number, since 3 + 497 + 79 + 2 + 71 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397024840 + ... + 397025720.

It is an arithmetic number, because the mean of its divisors is an integer number (2786748300).

Almost surely, 2^349779271680 is an apocalyptic number.

349779271680 is a gapful number since it is divisible by the number (30) 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 349779271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624231619200).

349779271680 is an abundant number, since it is smaller than the sum of its proper divisors (898683966720).

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

349779271680 is an equidigital number, since it uses as much as digits as its factorization.

349779271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 349779271680 in words is "three hundred forty-nine billion, seven hundred seventy-nine million, two hundred seventy-one thousand, six hundred eighty".