354197800 has 96 divisors (see below), whose sum is σ = 905968800. Its totient is φ = 127712000.

The previous prime is 354197777. The next prime is 354197801. The reversal of 354197800 is 8791453.

It is a super-3 number, since 3×354197800³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 354197800.

It is not an unprimeable number, because it can be changed into a prime (354197801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 287586 + ... + 288814.

It is an arithmetic number, because the mean of its divisors is an integer number (9437175).

Almost surely, 2^354197800 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 354197800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452984400).

354197800 is an abundant number, since it is smaller than the sum of its proper divisors (551771000).

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

354197800 is a wasteful number, since it uses less digits than its factorization.

354197800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 354197800 is about 18820.1434638528. The cubic root of 354197800 is about 707.5361267122.

The spelling of 354197800 in words is "three hundred fifty-four million, one hundred ninety-seven thousand, eight hundred".