350259840000 has 1980 divisors, whose sum is σ = 1577942993484. Its totient is φ = 74317824000.

The previous prime is 350259839989. The next prime is 350259840001. The reversal of 350259840000 is 48952053.

It can be written as a sum of positive squares in 10 ways, for example, as 210658968576 + 139600871424 = 458976^2 + 373632^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350259840001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4798079964 + ... + 4798080036.

Almost surely, 2^350259840000 is an apocalyptic number.

350259840000 is a gapful number since it is divisible by the number (30) 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 350259840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788971496742).

350259840000 is an abundant number, since it is smaller than the sum of its proper divisors (1227683153484).

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

350259840000 is a wasteful number, since it uses less digits than its factorization.

350259840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 350259840000 in words is "three hundred fifty billion, two hundred fifty-nine million, eight hundred forty thousand".