353638980 has 96 divisors (see below), whose sum is σ = 1107751680. Its totient is φ = 93657600.

The previous prime is 353638921. The next prime is 353638991. The reversal of 353638980 is 89836353.

353638980 is a `hidden beast` number, since 3 + 5 + 3 + 638 + 9 + 8 + 0 = 666.

353638980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79372 + ... + 83708.

It is an arithmetic number, because the mean of its divisors is an integer number (11539080).

Almost surely, 2^353638980 is an apocalyptic number.

353638980 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 353638980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553875840).

353638980 is an abundant number, since it is smaller than the sum of its proper divisors (754112700).

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

353638980 is a wasteful number, since it uses less digits than its factorization.

353638980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 353638980 is about 18805.2912766593. The cubic root of 353638980 is about 707.1638361873.

The spelling of 353638980 in words is "three hundred fifty-three million, six hundred thirty-eight thousand, nine hundred eighty".