334542120 has 128 divisors (see below), whose sum is σ = 1152576000. Its totient is φ = 76826880.

The previous prime is 334542097. The next prime is 334542127. The reversal of 334542120 is 21245433.

It is a super-2 number, since 2×334542120² = 223836860108188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (334542127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18411 + ... + 31749.

It is an arithmetic number, because the mean of its divisors is an integer number (9004500).

Almost surely, 2^334542120 is an apocalyptic number.

334542120 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 334542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576288000).

334542120 is an abundant number, since it is smaller than the sum of its proper divisors (818033880).

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

334542120 is a wasteful number, since it uses less digits than its factorization.

334542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13383 (or 13379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 334542120 is about 18290.4926122836. The cubic root of 334542120 is about 694.1983891350.

Adding to 334542120 its reverse (21245433), we get a palindrome (355787553).

The spelling of 334542120 in words is "three hundred thirty-four million, five hundred forty-two thousand, one hundred twenty".