350800512 has 64 divisors (see below), whose sum is σ = 934320000. Its totient is φ = 116619264.

The previous prime is 350800511. The next prime is 350800519. The reversal of 350800512 is 215008053.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (350800511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174489 + ... + 176487.

It is an arithmetic number, because the mean of its divisors is an integer number (14598750).

Almost surely, 2^350800512 is an apocalyptic number.

350800512 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 350800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467160000).

350800512 is an abundant number, since it is smaller than the sum of its proper divisors (583519488).

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

350800512 is a wasteful number, since it uses less digits than its factorization.

350800512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 350800512 is about 18729.6692976678. The cubic root of 350800512 is about 705.2667447934.

Adding to 350800512 its reverse (215008053), we get a palindrome (565808565).

The spelling of 350800512 in words is "three hundred fifty million, eight hundred thousand, five hundred twelve".