354019008 has 224 divisors, whose sum is σ = 1147023360. Its totient is φ = 94187520.

The previous prime is 354018983. The next prime is 354019009. The reversal of 354019008 is 800910453.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (354019009) 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 31 ways as a sum of consecutive naturals, for example, 1208110 + ... + 1208402.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2^354019008 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 354019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

354019008 is an abundant number, since it is smaller than the sum of its proper divisors (793004352).

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

354019008 is a wasteful number, since it uses less digits than its factorization.

354019008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 354019008 is about 18815.3928473471. The cubic root of 354019008 is about 707.4170566236.

The spelling of 354019008 in words is "three hundred fifty-four million, nineteen thousand, eight".