353820960 has 240 divisors, whose sum is σ = 1304081856. Its totient is φ = 90173952.

The previous prime is 353820959. The next prime is 353820991. The reversal of 353820960 is 69028353.

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297487 + ... + 298673.

Almost surely, 2^353820960 is an apocalyptic number.

353820960 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 353820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652040928).

353820960 is an abundant number, since it is smaller than the sum of its proper divisors (950260896).

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

353820960 is a wasteful number, since it uses less digits than its factorization.

353820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1220 counting only the distinct ones).

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

The square root of 353820960 is about 18810.1291861592. The cubic root of 353820960 is about 707.2851158107.

The spelling of 353820960 in words is "three hundred fifty-three million, eight hundred twenty thousand, nine hundred sixty".