350034048 has 480 divisors, whose sum is σ = 1329603660. Its totient is φ = 90574848.

The previous prime is 350034037. The next prime is 350034071. The reversal of 350034048 is 840430053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 347747904 + 2286144 = 18648^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 6604390 + ... + 6604442.

Almost surely, 2^350034048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664801830).

350034048 is an abundant number, since it is smaller than the sum of its proper divisors (979569612).

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

350034048 is a wasteful number, since it uses less digits than its factorization.

350034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 350034048 is about 18709.1968828168. The cubic root of 350034048 is about 704.7527245062.

The spelling of 350034048 in words is "three hundred fifty million, thirty-four thousand, forty-eight".