354380880 has 160 divisors (see below), whose sum is σ = 1273632768. Its totient is φ = 79833600.

The previous prime is 354380839. The next prime is 354380881. The reversal of 354380880 is 88083453.

354380880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354380881) 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, 117795 + ... + 120765.

Almost surely, 2^354380880 is an apocalyptic number.

354380880 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 354380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636816384).

354380880 is an abundant number, since it is smaller than the sum of its proper divisors (919251888).

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

354380880 is a wasteful number, since it uses less digits than its factorization.

354380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 354380880 is about 18825.0067729071. The cubic root of 354380880 is about 707.6580109645.

The spelling of 354380880 in words is "three hundred fifty-four million, three hundred eighty thousand, eight hundred eighty".