350025600 has 288 divisors, whose sum is σ = 1228816440. Its totient is φ = 87552000.

The previous prime is 350025551. The next prime is 350025607. The reversal of 350025600 is 6520053.

350025600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350025607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3465550 + ... + 3465650.

Almost surely, 2^350025600 is an apocalyptic number.

350025600 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 350025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614408220).

350025600 is an abundant number, since it is smaller than the sum of its proper divisors (878790840).

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

350025600 is a wasteful number, since it uses less digits than its factorization.

350025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 350025600 is about 18708.9711101386. The cubic root of 350025600 is about 704.7470547731.

Adding to 350025600 its reverse (6520053), we get a palindrome (356545653).

The spelling of 350025600 in words is "three hundred fifty million, twenty-five thousand, six hundred".