354002208 has 96 divisors (see below), whose sum is σ = 1066576896. Its totient is φ = 100708608.

The previous prime is 354002191. The next prime is 354002227. The reversal of 354002208 is 802200453.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 175735 + ... + 177737.

It is an arithmetic number, because the mean of its divisors is an integer number (11110176).

Almost surely, 2^354002208 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 354002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533288448).

354002208 is an abundant number, since it is smaller than the sum of its proper divisors (712574688).

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

354002208 is a wasteful number, since it uses less digits than its factorization.

354002208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 354002208 is about 18814.9463990733. The cubic root of 354002208 is about 707.4058662691.

The spelling of 354002208 in words is "three hundred fifty-four million, two thousand, two hundred eight".