350283360 has 288 divisors, whose sum is σ = 1312409952. Its totient is φ = 78274560.

The previous prime is 350283341. The next prime is 350283361. The reversal of 350283360 is 63382053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350283361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246420 + ... + 1246700.

It is an arithmetic number, because the mean of its divisors is an integer number (4556979).

Almost surely, 2^350283360 is an apocalyptic number.

350283360 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 350283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656204976).

350283360 is an abundant number, since it is smaller than the sum of its proper divisors (962126592).

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

350283360 is a wasteful number, since it uses less digits than its factorization.

350283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 350283360 is about 18715.8585162423. The cubic root of 350283360 is about 704.9200050073.

The spelling of 350283360 in words is "three hundred fifty million, two hundred eighty-three thousand, three hundred sixty".