350082051072 has 352 divisors, whose sum is σ = 1045443840000. Its totient is φ = 103445102592.

The previous prime is 350082051047. The next prime is 350082051079. The reversal of 350082051072 is 270150280053.

It is not an unprimeable number, because it can be changed into a prime (350082051079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116731429 + ... + 116734427.

Almost surely, 2^350082051072 is an apocalyptic number.

350082051072 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 350082051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522721920000).

350082051072 is an abundant number, since it is smaller than the sum of its proper divisors (695361788928).

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

350082051072 is a wasteful number, since it uses less digits than its factorization.

350082051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 350082051072 in words is "three hundred fifty billion, eighty-two million, fifty-one thousand, seventy-two".