350204399424 has 672 divisors, whose sum is σ = 1204531560960. Its totient is φ = 99769190400.

The previous prime is 350204399411. The next prime is 350204399449. The reversal of 350204399424 is 424993402053.

350204399424 is a `hidden beast` number, since 3 + 50 + 204 + 399 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 350204399424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529809654 + ... + 529810314.

It is an arithmetic number, because the mean of its divisors is an integer number (1792457680).

Almost surely, 2^350204399424 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 350204399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602265780480).

350204399424 is an abundant number, since it is smaller than the sum of its proper divisors (854327161536).

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

350204399424 is a wasteful number, since it uses less digits than its factorization.

350204399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 350204399424 in words is "three hundred fifty billion, two hundred four million, three hundred ninety-nine thousand, four hundred twenty-four".