351641628 has 96 divisors (see below), whose sum is σ = 987275520. Its totient is φ = 107593920.

The previous prime is 351641627. The next prime is 351641663. The reversal of 351641628 is 826146153.

It is a happy number.

351641628 is a `hidden beast` number, since 3 + 5 + 1 + 641 + 6 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 351641592 and 351641601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351641623) 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 31 ways as a sum of consecutive naturals, for example, 295651 + ... + 296837.

It is an arithmetic number, because the mean of its divisors is an integer number (10284120).

Almost surely, 2^351641628 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 351641628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493637760).

351641628 is an abundant number, since it is smaller than the sum of its proper divisors (635633892).

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

351641628 is a wasteful number, since it uses less digits than its factorization.

351641628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 351641628 is about 18752.1099612817. The cubic root of 351641628 is about 705.8299686567.

The spelling of 351641628 in words is "three hundred fifty-one million, six hundred forty-one thousand, six hundred twenty-eight".