351936 has 84 divisors (see below), whose sum is σ = 1109472. Its totient is φ = 105984.

The previous prime is 351931. The next prime is 351959. The reversal of 351936 is 639153.

It is not an unprimeable number, because it can be changed into a prime (351931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7465 + ... + 7511.

It is an arithmetic number, because the mean of its divisors is an integer number (13208).

2³⁵¹⁹³⁶ is an apocalyptic number.

351936 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 351936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554736).

351936 is an abundant number, since it is smaller than the sum of its proper divisors (757536).

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

351936 is a wasteful number, since it uses less digits than its factorization.

351936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 351936 is about 593.2419405268. The cubic root of 351936 is about 70.6026872370.

The spelling of 351936 in words is "three hundred fifty-one thousand, nine hundred thirty-six".