351677352 has 64 divisors (see below), whose sum is σ = 950302080. Its totient is φ = 107811072.

The previous prime is 351677323. The next prime is 351677353. The reversal of 351677352 is 253776153.

351677352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 351677352.

It is not an unprimeable number, because it can be changed into a prime (351677353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89493 + ... + 93339.

It is an arithmetic number, because the mean of its divisors is an integer number (14848470).

Almost surely, 2^351677352 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 351677352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475151040).

351677352 is an abundant number, since it is smaller than the sum of its proper divisors (598624728).

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

351677352 is a wasteful number, since it uses less digits than its factorization.

351677352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4158 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 351677352 is about 18753.0624699007. The cubic root of 351677352 is about 705.8538700893.

The spelling of 351677352 in words is "three hundred fifty-one million, six hundred seventy-seven thousand, three hundred fifty-two".