350127360 has 360 divisors, whose sum is σ = 1371164256. Its totient is φ = 84602880.

The previous prime is 350127343. The next prime is 350127391. The reversal of 350127360 is 63721053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-4 number, since 4×350127360⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140327 + ... + 1140633.

Almost surely, 2^350127360 is an apocalyptic number.

350127360 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 350127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685582128).

350127360 is an abundant number, since it is smaller than the sum of its proper divisors (1021036896).

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

350127360 is a wasteful number, since it uses less digits than its factorization.

350127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 350127360 is about 18711.6904634509. The cubic root of 350127360 is about 704.8153432180.

The spelling of 350127360 in words is "three hundred fifty million, one hundred twenty-seven thousand, three hundred sixty".