354344040 has 96 divisors (see below), whose sum is σ = 1191364200. Its totient is φ = 91230720.

The previous prime is 354344033. The next prime is 354344063. The reversal of 354344040 is 40443453.

It can be written as a sum of positive squares in 4 ways, for example, as 286083396 + 68260644 = 16914^2 + 8262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 354343995 and 354344013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6531 + ... + 27410.

Almost surely, 2^354344040 is an apocalyptic number.

354344040 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 354344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595682100).

354344040 is an abundant number, since it is smaller than the sum of its proper divisors (837020160).

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

354344040 is a wasteful number, since it uses less digits than its factorization.

354344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33987 (or 33980 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 354344040 is about 18824.0282617722. The cubic root of 354344040 is about 707.6334883619.

Adding to 354344040 its reverse (40443453), we get a palindrome (394787493).

The spelling of 354344040 in words is "three hundred fifty-four million, three hundred forty-four thousand, forty".