353343040 has 56 divisors (see below), whose sum is σ = 860999040. Its totient is φ = 138044928.

The previous prime is 353343037. The next prime is 353343041. The reversal of 353343040 is 40343353.

It is a junction number, because it is equal to n+sod(n) for n = 353342996 and 353343014.

It is not an unprimeable number, because it can be changed into a prime (353343041) 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, 921 + ... + 26599.

Almost surely, 2^353343040 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 353343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430499520).

353343040 is an abundant number, since it is smaller than the sum of its proper divisors (507656000).

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

353343040 is a wasteful number, since it uses less digits than its factorization.

353343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25739 (or 25729 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 353343040 is about 18797.4210997147. The cubic root of 353343040 is about 706.9665196373.

Adding to 353343040 its reverse (40343353), we get a palindrome (393686393).

The spelling of 353343040 in words is "three hundred fifty-three million, three hundred forty-three thousand, forty".