353364040 has 64 divisors (see below), whose sum is σ = 869045760. Its totient is φ = 128732160.

The previous prime is 353364029. The next prime is 353364047. The reversal of 353364040 is 40463353.

It is a super-2 number, since 2×353364040² = 249732289530243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (353364047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12699 + ... + 29461.

It is an arithmetic number, because the mean of its divisors is an integer number (13578840).

Almost surely, 2^353364040 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 353364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434522880).

353364040 is an abundant number, since it is smaller than the sum of its proper divisors (515681720).

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

353364040 is a wasteful number, since it uses less digits than its factorization.

353364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16822 (or 16818 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 353364040 is about 18797.9796786782. The cubic root of 353364040 is about 706.9805249156.

The spelling of 353364040 in words is "three hundred fifty-three million, three hundred sixty-four thousand, forty".