353623680 has 288 divisors, whose sum is σ = 1281990060. Its totient is φ = 89800704.

The previous prime is 353623679. The next prime is 353623693. The reversal of 353623680 is 86326353.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 172344384 + 181279296 = 13128^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 4844124 + ... + 4844196.

Almost surely, 2^353623680 is an apocalyptic number.

353623680 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 353623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640995030).

353623680 is an abundant number, since it is smaller than the sum of its proper divisors (928366380).

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

353623680 is a wasteful number, since it uses less digits than its factorization.

353623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 353623680 is about 18804.8844718600. The cubic root of 353623680 is about 707.1536376860.

The spelling of 353623680 in words is "three hundred fifty-three million, six hundred twenty-three thousand, six hundred eighty".