351838820 has 48 divisors (see below), whose sum is σ = 775474560. Its totient is φ = 133833216.

The previous prime is 351838813. The next prime is 351838829. The reversal of 351838820 is 28838153.

It is not an unprimeable number, because it can be changed into a prime (351838829) 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 15 ways as a sum of consecutive naturals, for example, 80204 + ... + 84476.

It is an arithmetic number, because the mean of its divisors is an integer number (16155720).

Almost surely, 2^351838820 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 351838820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387737280).

351838820 is an abundant number, since it is smaller than the sum of its proper divisors (423635740).

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

351838820 is a wasteful number, since it uses less digits than its factorization.

351838820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 351838820 is about 18757.3670860278. The cubic root of 351838820 is about 705.9618813800.

The spelling of 351838820 in words is "three hundred fifty-one million, eight hundred thirty-eight thousand, eight hundred twenty".