351792 has 60 divisors (see below), whose sum is σ = 1128400. Its totient is φ = 100224.

The previous prime is 351779. The next prime is 351797. The reversal of 351792 is 297153.

It is a super-2 number, since 2×351792² = 247515222528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351797) by changing a digit.

351792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 1182.

2³⁵¹⁷⁹² 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 351792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564200).

351792 is an abundant number, since it is smaller than the sum of its proper divisors (776608).

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

351792 is a wasteful number, since it uses less digits than its factorization.

351792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 351792 is about 593.1205611004. The cubic root of 351792 is about 70.5930565334.

The spelling of 351792 in words is "three hundred fifty-one thousand, seven hundred ninety-two".