349781760 has 288 divisors, whose sum is σ = 1287720000. Its totient is φ = 89800704.

The previous prime is 349781759. The next prime is 349781767. The reversal of 349781760 is 67187943.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349781767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002066 + ... + 1002414.

It is an arithmetic number, because the mean of its divisors is an integer number (4471250).

Almost surely, 2^349781760 is an apocalyptic number.

349781760 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 349781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643860000).

349781760 is an abundant number, since it is smaller than the sum of its proper divisors (937938240).

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

349781760 is a wasteful number, since it uses less digits than its factorization.

349781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 349781760 is about 18702.4533150066. The cubic root of 349781760 is about 704.5833663249.

The spelling of 349781760 in words is "three hundred forty-nine million, seven hundred eighty-one thousand, seven hundred sixty".