354394320 has 160 divisors (see below), whose sum is σ = 1263228672. Its totient is φ = 80510976.

The previous prime is 354394309. The next prime is 354394321. The reversal of 354394320 is 23493453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354394321) 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, 323694 + ... + 324786.

Almost surely, 2^354394320 is an apocalyptic number.

354394320 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 354394320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631614336).

354394320 is an abundant number, since it is smaller than the sum of its proper divisors (908834352).

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

354394320 is a wasteful number, since it uses less digits than its factorization.

354394320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 354394320 is about 18825.3637415058. The cubic root of 354394320 is about 707.6669568981. Note that the first 3 decimals are identical.

The spelling of 354394320 in words is "three hundred fifty-four million, three hundred ninety-four thousand, three hundred twenty".