353385120 has 384 divisors, whose sum is σ = 1337720832. Its totient is φ = 77414400.

The previous prime is 353385119. The next prime is 353385127. The reversal of 353385120 is 21583353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (353385127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782497 + ... + 2782623.

It is an arithmetic number, because the mean of its divisors is an integer number (3483648).

Almost surely, 2^353385120 is an apocalyptic number.

353385120 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 353385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668860416).

353385120 is an abundant number, since it is smaller than the sum of its proper divisors (984335712).

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

353385120 is a wasteful number, since it uses less digits than its factorization.

353385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 353385120 is about 18798.5403688691. The cubic root of 353385120 is about 706.9945829892.

The spelling of 353385120 in words is "three hundred fifty-three million, three hundred eighty-five thousand, one hundred twenty".