354384000 has 384 divisors, whose sum is σ = 1340426880. Its totient is φ = 89548800.

The previous prime is 354383999. The next prime is 354384049. The reversal of 354384000 is 483453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3311947 + ... + 3312053.

It is an arithmetic number, because the mean of its divisors is an integer number (3490695).

Almost surely, 2^354384000 is an apocalyptic number.

354384000 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 354384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670213440).

354384000 is an abundant number, since it is smaller than the sum of its proper divisors (986042880).

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

354384000 is a wasteful number, since it uses less digits than its factorization.

354384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 354384000 is about 18825.0896412208. The cubic root of 354384000 is about 707.6600877193.

The spelling of 354384000 in words is "three hundred fifty-four million, three hundred eighty-four thousand".