350181216 has 144 divisors (see below), whose sum is σ = 1241630208. Its totient is φ = 90950400.

The previous prime is 350181211. The next prime is 350181263. The reversal of 350181216 is 612181053.

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

It is a self number, because there is not a number n which added to its sum of digits gives 350181216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350181211) 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, 14281 + ... + 30071.

It is an arithmetic number, because the mean of its divisors is an integer number (8622432).

Almost surely, 2^350181216 is an apocalyptic number.

350181216 is a gapful number since it is divisible by the number (36) 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 350181216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620815104).

350181216 is an abundant number, since it is smaller than the sum of its proper divisors (891448992).

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

350181216 is a wasteful number, since it uses less digits than its factorization.

350181216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15825 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 350181216 is about 18713.1295084494. The cubic root of 350181216 is about 704.8514792010.

The spelling of 350181216 in words is "three hundred fifty million, one hundred eighty-one thousand, two hundred sixteen".