350005600272 has 160 divisors (see below), whose sum is σ = 927583488000. Its totient is φ = 113692640256.

The previous prime is 350005600267. The next prime is 350005600327. The reversal of 350005600272 is 272006500053.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216185479 + ... + 216187097.

It is an arithmetic number, because the mean of its divisors is an integer number (5797396800).

Almost surely, 2^350005600272 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 350005600272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463791744000).

350005600272 is an abundant number, since it is smaller than the sum of its proper divisors (577577887728).

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

350005600272 is a wasteful number, since it uses less digits than its factorization.

350005600272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The spelling of 350005600272 in words is "three hundred fifty billion, five million, six hundred thousand, two hundred seventy-two".