354382080 has 288 divisors, whose sum is σ = 1263682560. Its totient is φ = 84049920.

The previous prime is 354382079. The next prime is 354382081. The reversal of 354382080 is 80283453.

354382080 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 (354382079) and next prime (354382081).

It is not an unprimeable number, because it can be changed into a prime (354382081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547406 + ... + 1547634.

Almost surely, 2^354382080 is an apocalyptic number.

354382080 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 354382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631841280).

354382080 is an abundant number, since it is smaller than the sum of its proper divisors (909300480).

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

354382080 is a wasteful number, since it uses less digits than its factorization.

354382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 354382080 is about 18825.0386453787. The cubic root of 354382080 is about 707.6588097178.

The spelling of 354382080 in words is "three hundred fifty-four million, three hundred eighty-two thousand, eighty".