350635872 has 48 divisors (see below), whose sum is σ = 925972992. Its totient is φ = 116173440.

The previous prime is 350635853. The next prime is 350635877. The reversal of 350635872 is 278536053.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 350635872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350635877) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5097 + ... + 26967.

It is an arithmetic number, because the mean of its divisors is an integer number (19291104).

Almost surely, 2^350635872 is an apocalyptic number.

350635872 is a gapful number since it is divisible by the number (32) 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 350635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462986496).

350635872 is an abundant number, since it is smaller than the sum of its proper divisors (575337120).

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

350635872 is a wasteful number, since it uses less digits than its factorization.

350635872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22051 (or 22043 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 350635872 is about 18725.2736161585. The cubic root of 350635872 is about 705.1563940547.

The spelling of 350635872 in words is "three hundred fifty million, six hundred thirty-five thousand, eight hundred seventy-two".