353134980 has 72 divisors (see below), whose sum is σ = 1168562304. Its totient is φ = 85608000.

The previous prime is 353134973. The next prime is 353134987. The reversal of 353134980 is 89431353.

353134980 is a `hidden beast` number, since 3 + 531 + 3 + 49 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (353134973) and next prime (353134987).

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

It is not an unprimeable number, because it can be changed into a prime (353134987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87196 + ... + 91155.

It is an arithmetic number, because the mean of its divisors is an integer number (16230032).

Almost surely, 2^353134980 is an apocalyptic number.

353134980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353134980 is an abundant number, since it is smaller than the sum of its proper divisors (815427324).

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

353134980 is a wasteful number, since it uses less digits than its factorization.

353134980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178377 (or 178372 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 353134980 is about 18791.8860149800. The cubic root of 353134980 is about 706.8277306819.

The spelling of 353134980 in words is "three hundred fifty-three million, one hundred thirty-four thousand, nine hundred eighty".