354221472 has 96 divisors (see below), whose sum is σ = 1033663680. Its totient is φ = 105297920.

The previous prime is 354221447. The next prime is 354221521. The reversal of 354221472 is 274122453.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×354221472³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52804 + ... + 59132.

It is an arithmetic number, because the mean of its divisors is an integer number (10767330).

Almost surely, 2^354221472 is an apocalyptic number.

354221472 is a gapful number since it is divisible by the number (32) 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 354221472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516831840).

354221472 is an abundant number, since it is smaller than the sum of its proper divisors (679442208).

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

354221472 is a wasteful number, since it uses less digits than its factorization.

354221472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6398 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 354221472 is about 18820.7723539710. The cubic root of 354221472 is about 707.5518885475.

The spelling of 354221472 in words is "three hundred fifty-four million, two hundred twenty-one thousand, four hundred seventy-two".