351920 has 40 divisors (see below), whose sum is σ = 843696. Its totient is φ = 136448.

The previous prime is 351919. The next prime is 351929. The reversal of 351920 is 29153.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×351920³ = 130753433393664000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 351892 and 351901.

It is not an unprimeable number, because it can be changed into a prime (351929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4199 + ... + 4281.

2³⁵¹⁹²⁰ 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 351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848).

351920 is an abundant number, since it is smaller than the sum of its proper divisors (491776).

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

351920 is a wasteful number, since it uses less digits than its factorization.

351920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 351920 is about 593.2284551503. The cubic root of 351920 is about 70.6016172886.

The spelling of 351920 in words is "three hundred fifty-one thousand, nine hundred twenty".