349780680 has 160 divisors (see below), whose sum is σ = 1189841400. Its totient is φ = 92150784.

The previous prime is 349780643. The next prime is 349780681. The reversal of 349780680 is 86087943.

It is a happy number.

349780680 is a `hidden beast` number, since 3 + 497 + 80 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128187684 + 221592996 = 11322^2 + 14886^2 .

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

It is not an unprimeable number, because it can be changed into a prime (349780681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287754 + ... + 288966.

Almost surely, 2^349780680 is an apocalyptic number.

349780680 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 349780680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594920700).

349780680 is an abundant number, since it is smaller than the sum of its proper divisors (840060720).

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

349780680 is a wasteful number, since it uses less digits than its factorization.

349780680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 349780680 is about 18702.4244417669. The cubic root of 349780680 is about 704.5826411577.

The spelling of 349780680 in words is "three hundred forty-nine million, seven hundred eighty thousand, six hundred eighty".