351138816 has 132 divisors (see below), whose sum is σ = 1158962272. Its totient is φ = 100306944.

The previous prime is 351138811. The next prime is 351138841. The reversal of 351138816 is 618831153.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351138811) 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 11 ways as a sum of consecutive naturals, for example, 61791 + ... + 67233.

Almost surely, 2^351138816 is an apocalyptic number.

351138816 is a gapful number since it is divisible by the number (36) 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 351138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579481136).

351138816 is an abundant number, since it is smaller than the sum of its proper divisors (807823456).

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

351138816 is a wasteful number, since it uses less digits than its factorization.

351138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5455 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 351138816 is about 18738.6983539412. The cubic root of 351138816 is about 705.4933863322.

Adding to 351138816 its reverse (618831153), we get a palindrome (969969969).

The spelling of 351138816 in words is "three hundred fifty-one million, one hundred thirty-eight thousand, eight hundred sixteen".