350607360 has 192 divisors, whose sum is σ = 1142799840. Its totient is φ = 91750400.

The previous prime is 350607343. The next prime is 350607379. The reversal of 350607360 is 63706053.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 15 ways as a sum of consecutive naturals, for example, 3102664 + ... + 3102776.

Almost surely, 2^350607360 is an apocalyptic number.

350607360 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 350607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571399920).

350607360 is an abundant number, since it is smaller than the sum of its proper divisors (792192480).

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

350607360 is a wasteful number, since it uses less digits than its factorization.

350607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 350607360 is about 18724.5122766923. The cubic root of 350607360 is about 705.1372802431.

The spelling of 350607360 in words is "three hundred fifty million, six hundred seven thousand, three hundred sixty".