353545128 has 64 divisors (see below), whose sum is σ = 987604800. Its totient is φ = 117184320.

The previous prime is 353545117. The next prime is 353545151. The reversal of 353545128 is 821545353.

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

It is a junction number, because it is equal to n+sod(n) for n = 353545092 and 353545101.

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, 34575 + ... + 43617.

It is an arithmetic number, because the mean of its divisors is an integer number (15431325).

Almost surely, 2^353545128 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 353545128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493802400).

353545128 is an abundant number, since it is smaller than the sum of its proper divisors (634059672).

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

353545128 is a wasteful number, since it uses less digits than its factorization.

353545128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239 (or 9229 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 353545128 is about 18802.7957495687. The cubic root of 353545128 is about 707.1012727481.

The spelling of 353545128 in words is "three hundred fifty-three million, five hundred forty-five thousand, one hundred twenty-eight".