354221010 has 192 divisors, whose sum is σ = 1146337920. Its totient is φ = 74557440.

The previous prime is 354221003. The next prime is 354221029. The reversal of 354221010 is 10122453.

It is a super-3 number, since 3×354221010³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 217981 + ... + 219599.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^354221010 is an apocalyptic number.

354221010 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 354221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573168960).

354221010 is an abundant number, since it is smaller than the sum of its proper divisors (792116910).

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

354221010 is a wasteful number, since it uses less digits than its factorization.

354221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 354221010 is about 18820.7600802943. The cubic root of 354221010 is about 707.5515809347.

Adding to 354221010 its reverse (10122453), we get a palindrome (364343463).

The spelling of 354221010 in words is "three hundred fifty-four million, two hundred twenty-one thousand, ten".