354198000 has 320 divisors, whose sum is σ = 1299916800. Its totient is φ = 82252800.

The previous prime is 354197983. The next prime is 354198023. The reversal of 354198000 is 891453.

It is a super-3 number, since 3×354198000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1481881 + ... + 1482119.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^354198000 is an apocalyptic number.

354198000 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 354198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

354198000 is an abundant number, since it is smaller than the sum of its proper divisors (945718800).

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

354198000 is a wasteful number, since it uses less digits than its factorization.

354198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

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

The square root of 354198000 is about 18820.1487773078. The cubic root of 354198000 is about 707.5362598838.

The spelling of 354198000 in words is "three hundred fifty-four million, one hundred ninety-eight thousand".