350688000 has 288 divisors, whose sum is σ = 1258875072. Its totient is φ = 86016000.

The previous prime is 350687977. The next prime is 350688007. The reversal of 350688000 is 886053.

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 (350688007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1247860 + ... + 1248140.

It is an arithmetic number, because the mean of its divisors is an integer number (4371094).

Almost surely, 2^350688000 is an apocalyptic number.

350688000 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 350688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629437536).

350688000 is an abundant number, since it is smaller than the sum of its proper divisors (908187072).

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

350688000 is a wasteful number, since it uses less digits than its factorization.

350688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 350688000 is about 18726.6654800047. The cubic root of 350688000 is about 705.1913368297.

The spelling of 350688000 in words is "three hundred fifty million, six hundred eighty-eight thousand".