350007552 has 108 divisors (see below), whose sum is σ = 1023473724. Its totient is φ = 115015680.

The previous prime is 350007551. The next prime is 350007571. The reversal of 350007552 is 255700053.

It can be written as a sum of positive squares in 2 ways, for example, as 165482496 + 184525056 = 12864^2 + 13584^2 .

It is a super-3 number, since 3×350007552³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (350007551) 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 11 ways as a sum of consecutive naturals, for example, 167152 + ... + 169232.

Almost surely, 2^350007552 is an apocalyptic number.

350007552 is a gapful number since it is divisible by the number (32) 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 350007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511736862).

350007552 is an abundant number, since it is smaller than the sum of its proper divisors (673466172).

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

350007552 is a wasteful number, since it uses less digits than its factorization.

350007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 350007552 is about 18708.4887684709. The cubic root of 350007552 is about 704.7349418558.

The spelling of 350007552 in words is "three hundred fifty million, seven thousand, five hundred fifty-two".