354283680 has 96 divisors (see below), whose sum is σ = 1121904000. Its totient is φ = 93975552.

The previous prime is 354283661. The next prime is 354283729. The reversal of 354283680 is 86382453.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 93666 + ... + 97374.

It is an arithmetic number, because the mean of its divisors is an integer number (11686500).

Almost surely, 2^354283680 is an apocalyptic number.

354283680 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 354283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560952000).

354283680 is an abundant number, since it is smaller than the sum of its proper divisors (767620320).

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

354283680 is a wasteful number, since it uses less digits than its factorization.

354283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 354283680 is about 18822.4249234789. The cubic root of 354283680 is about 707.5933059609.

The spelling of 354283680 in words is "three hundred fifty-four million, two hundred eighty-three thousand, six hundred eighty".