354199890 has 64 divisors (see below), whose sum is σ = 952456320. Its totient is φ = 83543040.

The previous prime is 354199889. The next prime is 354199891. The reversal of 354199890 is 98991453.

354199890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (354199889) and next prime (354199891).

It is a super-3 number, since 3×354199890³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354199891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2295 + ... + 26714.

It is an arithmetic number, because the mean of its divisors is an integer number (14882130).

Almost surely, 2^354199890 is an apocalyptic number.

354199890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354199890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476228160).

354199890 is an abundant number, since it is smaller than the sum of its proper divisors (598256430).

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

354199890 is a wasteful number, since it uses less digits than its factorization.

354199890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29067.

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 354199890 is about 18820.1989893837. The cubic root of 354199890 is about 707.5375183523.

The spelling of 354199890 in words is "three hundred fifty-four million, one hundred ninety-nine thousand, eight hundred ninety".