350044361600 has 192 divisors, whose sum is σ = 945124329600. Its totient is φ = 127529779200.

The previous prime is 350044361599. The next prime is 350044361603. The reversal of 350044361600 is 6163440053.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350044361603) 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 23 ways as a sum of consecutive naturals, for example, 1582616 + ... + 1790184.

It is an arithmetic number, because the mean of its divisors is an integer number (4922522550).

Almost surely, 2^350044361600 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 350044361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472562164800).

350044361600 is an abundant number, since it is smaller than the sum of its proper divisors (595079968000).

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

350044361600 is a wasteful number, since it uses less digits than its factorization.

350044361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207641 (or 207624 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 350044361600 in words is "three hundred fifty billion, forty-four million, three hundred sixty-one thousand, six hundred".