350730000 has 250 divisors, whose sum is σ = 1271416454. Its totient is φ = 93312000.

The previous prime is 350729983. The next prime is 350730019. The reversal of 350730000 is 37053.

It can be written as a sum of positive squares in 5 ways, for example, as 214681104 + 136048896 = 14652^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 809784 + ... + 810216.

Almost surely, 2^350730000 is an apocalyptic number.

350730000 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 350730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635708227).

350730000 is an abundant number, since it is smaller than the sum of its proper divisors (920686454).

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

350730000 is an equidigital number, since it uses as much as digits as its factorization.

350730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 350730000 is about 18727.7868420163. The cubic root of 350730000 is about 705.2194880199.

Adding to 350730000 its reverse (37053), we get a palindrome (350767053).

The spelling of 350730000 in words is "three hundred fifty million, seven hundred thirty thousand".