350242939200 has 336 divisors, whose sum is σ = 1432631591424. Its totient is φ = 72777676800.

The previous prime is 350242939187. The next prime is 350242939237. The reversal of 350242939200 is 2939242053.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104214 + ... + 843413.

Almost surely, 2^350242939200 is an apocalyptic number.

350242939200 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 350242939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716315795712).

350242939200 is an abundant number, since it is smaller than the sum of its proper divisors (1082388652224).

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

350242939200 is a wasteful number, since it uses less digits than its factorization.

350242939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947670 (or 947655 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 350242939200 in words is "three hundred fifty billion, two hundred forty-two million, nine hundred thirty-nine thousand, two hundred".