354842208 has 336 divisors, whose sum is σ = 1249377696. Its totient is φ = 97044480.

The previous prime is 354842179. The next prime is 354842227. The reversal of 354842208 is 802248453.

354842208 is a `hidden beast` number, since 354 + 84 + 220 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 6695110 + ... + 6695162.

It is an arithmetic number, because the mean of its divisors is an integer number (3718386).

Almost surely, 2^354842208 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 354842208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624688848).

354842208 is an abundant number, since it is smaller than the sum of its proper divisors (894535488).

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

354842208 is an equidigital number, since it uses as much as digits as its factorization.

354842208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 354842208 is about 18837.2558511053. The cubic root of 354842208 is about 707.9649508648.

The spelling of 354842208 in words is "three hundred fifty-four million, eight hundred forty-two thousand, two hundred eight".