353661980 has 48 divisors (see below), whose sum is σ = 855515136. Its totient is φ = 120294720.

The previous prime is 353661977. The next prime is 353662003. The reversal of 353661980 is 89166353.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7835 + ... + 27725.

It is an arithmetic number, because the mean of its divisors is an integer number (17823232).

Almost surely, 2^353661980 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 353661980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427757568).

353661980 is an abundant number, since it is smaller than the sum of its proper divisors (501853156).

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

353661980 is a wasteful number, since it uses less digits than its factorization.

353661980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20034 (or 20032 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 353661980 is about 18805.9027967285. The cubic root of 353661980 is about 707.1791667141.

The spelling of 353661980 in words is "three hundred fifty-three million, six hundred sixty-one thousand, nine hundred eighty".