353320020 has 144 divisors (see below), whose sum is σ = 1154829312. Its totient is φ = 87183360.

The previous prime is 353319979. The next prime is 353320049. The reversal of 353320020 is 20023353.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 353319975 and 353320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126964 + ... + 129716.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648).

Almost surely, 2^353320020 is an apocalyptic number.

353320020 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 353320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577414656).

353320020 is an abundant number, since it is smaller than the sum of its proper divisors (801509292).

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

353320020 is a wasteful number, since it uses less digits than its factorization.

353320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 353320020 is about 18796.8087717038. The cubic root of 353320020 is about 706.9511665471.

Adding to 353320020 its reverse (20023353), we get a palindrome (373343373).

The spelling of 353320020 in words is "three hundred fifty-three million, three hundred twenty thousand, twenty".