350347680 has 144 divisors (see below), whose sum is σ = 1239979104. Its totient is φ = 93415680.

The previous prime is 350347667. The next prime is 350347687. The reversal of 350347680 is 86743053.

It is a happy number.

350347680 is a `hidden beast` number, since 3 + 503 + 4 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350347687) 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, 34375 + ... + 43385.

It is an arithmetic number, because the mean of its divisors is an integer number (8610966).

Almost surely, 2^350347680 is an apocalyptic number.

350347680 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 350347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619989552).

350347680 is an abundant number, since it is smaller than the sum of its proper divisors (889631424).

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

350347680 is an equidigital number, since it uses as much as digits as its factorization.

350347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 350347680 is about 18717.5767662377. The cubic root of 350347680 is about 704.9631488207.

The spelling of 350347680 in words is "three hundred fifty million, three hundred forty-seven thousand, six hundred eighty".