350348544 has 288 divisors, whose sum is σ = 1277418240. Its totient is φ = 92233728.

The previous prime is 350348519. The next prime is 350348587. The reversal of 350348544 is 445843053.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 350348499 and 350348508.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 628714 + ... + 629270.

It is an arithmetic number, because the mean of its divisors is an integer number (4435480).

Almost surely, 2^350348544 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 350348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638709120).

350348544 is an abundant number, since it is smaller than the sum of its proper divisors (927069696).

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

350348544 is a wasteful number, since it uses less digits than its factorization.

350348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 350348544 is about 18717.5998461341. The cubic root of 350348544 is about 704.9637283285.

The spelling of 350348544 in words is "three hundred fifty million, three hundred forty-eight thousand, five hundred forty-four".