350135803776 has 256 divisors, whose sum is σ = 1023137095680. Its totient is φ = 105213081600.

The previous prime is 350135803769. The next prime is 350135803777. The reversal of 350135803776 is 677308531053.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350135803777) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 311785551 + ... + 311786673.

It is an arithmetic number, because the mean of its divisors is an integer number (3996629280).

Almost surely, 2^350135803776 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 350135803776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511568547840).

350135803776 is an abundant number, since it is smaller than the sum of its proper divisors (673001291904).

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

350135803776 is a wasteful number, since it uses less digits than its factorization.

350135803776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 350135803776 in words is "three hundred fifty billion, one hundred thirty-five million, eight hundred three thousand, seven hundred seventy-six".