349639680 has 352 divisors, whose sum is σ = 1287546624. Its totient is φ = 80216064.

The previous prime is 349639673. The next prime is 349639681. The reversal of 349639680 is 86936943.

349639680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349639681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394509 + ... + 3394611.

Almost surely, 2^349639680 is an apocalyptic number.

349639680 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 349639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643773312).

349639680 is an abundant number, since it is smaller than the sum of its proper divisors (937906944).

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

349639680 is a wasteful number, since it uses less digits than its factorization.

349639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 349639680 is about 18698.6544970487. The cubic root of 349639680 is about 704.4879537243.

The spelling of 349639680 in words is "three hundred forty-nine million, six hundred thirty-nine thousand, six hundred eighty".