350930681472 has 128 divisors (see below), whose sum is σ = 1066232471040. Its totient is φ = 100180528128.

The previous prime is 350930681467. The next prime is 350930681513. The reversal of 350930681472 is 274186039053.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135663 + ... + 3245649.

It is an arithmetic number, because the mean of its divisors is an integer number (8329941180).

It is a 1-persistent number, because it is pandigital, but 2⋅350930681472 = 701861362944 is not.

Almost surely, 2^350930681472 is an apocalyptic number.

350930681472 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 350930681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533116235520).

350930681472 is an abundant number, since it is smaller than the sum of its proper divisors (715301789568).

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

350930681472 is a wasteful number, since it uses less digits than its factorization.

350930681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111198 (or 111186 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 350930681472 in words is "three hundred fifty billion, nine hundred thirty million, six hundred eighty-one thousand, four hundred seventy-two".