354090080 has 96 divisors (see below), whose sum is σ = 885880800. Its totient is φ = 133373952.

The previous prime is 354090073. The next prime is 354090089. The reversal of 354090080 is 80090453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354090089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817544 + ... + 817976.

It is an arithmetic number, because the mean of its divisors is an integer number (9227925).

Almost surely, 2^354090080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442940400).

354090080 is an abundant number, since it is smaller than the sum of its proper divisors (531790720).

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

354090080 is a wasteful number, since it uses less digits than its factorization.

354090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 354090080 is about 18817.2814189510. The cubic root of 354090080 is about 707.4643932352.

The spelling of 354090080 in words is "three hundred fifty-four million, ninety thousand, eighty".