353134080 has 400 divisors, whose sum is σ = 1372505904. Its totient is φ = 86261760.

The previous prime is 353134079. The next prime is 353134097. The reversal of 353134080 is 80431353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695615 + ... + 2695745.

Almost surely, 2^353134080 is an apocalyptic number.

353134080 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 353134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686252952).

353134080 is an abundant number, since it is smaller than the sum of its proper divisors (1019371824).

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

353134080 is a wasteful number, since it uses less digits than its factorization.

353134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 353134080 is about 18791.8620684593. The cubic root of 353134080 is about 706.8271302075.

It can be divided in two parts, 35313 and 4080, that added together give a palindrome (39393).

The spelling of 353134080 in words is "three hundred fifty-three million, one hundred thirty-four thousand, eighty".