350033152 has 72 divisors (see below), whose sum is σ = 824402432. Its totient is φ = 145152000.

The previous prime is 350033137. The next prime is 350033153. The reversal of 350033152 is 251330053.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350033153) 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 7 ways as a sum of consecutive naturals, for example, 52402 + ... + 58702.

Almost surely, 2^350033152 is an apocalyptic number.

350033152 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 350033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412201216).

350033152 is an abundant number, since it is smaller than the sum of its proper divisors (474369280).

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

350033152 is an equidigital number, since it uses as much as digits as its factorization.

350033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 350033152 is about 18709.1729373588. The cubic root of 350033152 is about 704.7521231752.

The spelling of 350033152 in words is "three hundred fifty million, thirty-three thousand, one hundred fifty-two".