354385800 has 384 divisors, whose sum is σ = 1321344000. Its totient is φ = 87091200.

The previous prime is 354385789. The next prime is 354385813. The reversal of 354385800 is 8583453.

354385800 is a `hidden beast` number, since 35 + 43 + 8 + 580 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4854564 + ... + 4854636.

It is an arithmetic number, because the mean of its divisors is an integer number (3441000).

Almost surely, 2^354385800 is an apocalyptic number.

354385800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672000).

354385800 is an abundant number, since it is smaller than the sum of its proper divisors (966958200).

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

354385800 is a wasteful number, since it uses less digits than its factorization.

354385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 354385800 is about 18825.1374496974. The cubic root of 354385800 is about 707.6612858415.

The spelling of 354385800 in words is "three hundred fifty-four million, three hundred eighty-five thousand, eight hundred".