351840 has 48 divisors (see below), whose sum is σ = 1109808. Its totient is φ = 93696.

The previous prime is 351829. The next prime is 351847. The reversal of 351840 is 48153.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351847) by changing a digit.

351840 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 7 ways as a sum of consecutive naturals, for example, 114 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (23121).

2³⁵¹⁸⁴⁰ is an apocalyptic number.

351840 is a gapful number since it is divisible by the number (30) 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 351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554904).

351840 is an abundant number, since it is smaller than the sum of its proper divisors (757968).

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

351840 is a wasteful number, since it uses less digits than its factorization.

351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 351840 is about 593.1610236690. The cubic root of 351840 is about 70.5962670599.

Adding to 351840 its reverse (48153), we get a palindrome (399993).

The spelling of 351840 in words is "three hundred fifty-one thousand, eight hundred forty".