354539808 has 288 divisors, whose sum is σ = 1241170560. Its totient is φ = 96422400.

The previous prime is 354539803. The next prime is 354539821. The reversal of 354539808 is 808935453.

It is a happy number.

354539808 is a `hidden beast` number, since 35 + 4 + 539 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (354539803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5812098 + ... + 5812158.

It is an arithmetic number, because the mean of its divisors is an integer number (4309620).

Almost surely, 2^354539808 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 354539808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620585280).

354539808 is an abundant number, since it is smaller than the sum of its proper divisors (886630752).

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

354539808 is a wasteful number, since it uses less digits than its factorization.

354539808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 354539808 is about 18829.2274934475. The cubic root of 354539808 is about 707.7637821563.

The spelling of 354539808 in words is "three hundred fifty-four million, five hundred thirty-nine thousand, eight hundred eight".