350638080 has 208 divisors, whose sum is σ = 1210957440. Its totient is φ = 86114304.

The previous prime is 350638063. The next prime is 350638091. The reversal of 350638080 is 80836053.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798501 + ... + 798939.

Almost surely, 2^350638080 is an apocalyptic number.

350638080 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 350638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605478720).

350638080 is an abundant number, since it is smaller than the sum of its proper divisors (860319360).

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

350638080 is a wasteful number, since it uses less digits than its factorization.

350638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 350638080 is about 18725.3325738156. The cubic root of 350638080 is about 705.1578742057.

The spelling of 350638080 in words is "three hundred fifty million, six hundred thirty-eight thousand, eighty".