349087680 has 168 divisors, whose sum is σ = 1223906112. Its totient is φ = 91293696.

The previous prime is 349087667. The next prime is 349087681. The reversal of 349087680 is 86780943.

It is a happy number.

349087680 is a `hidden beast` number, since 3 + 490 + 87 + 6 + 80 = 666.

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 (349087681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151497 + ... + 153783.

Almost surely, 2^349087680 is an apocalyptic number.

349087680 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 349087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611953056).

349087680 is an abundant number, since it is smaller than the sum of its proper divisors (874818432).

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

349087680 is a wasteful number, since it uses less digits than its factorization.

349087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2350 counting only the distinct ones).

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

The square root of 349087680 is about 18683.8882462939. Note that the first 3 decimals coincide. The cubic root of 349087680 is about 704.1170173943.

The spelling of 349087680 in words is "three hundred forty-nine million, eighty-seven thousand, six hundred eighty".