334545120 has 768 divisors, whose sum is σ = 1544417280. Its totient is φ = 65691648.

The previous prime is 334545119. The next prime is 334545121. The reversal of 334545120 is 21545433.

It is an interprime number because it is at equal distance from previous prime (334545119) and next prime (334545121).

It is a super-2 number, since 2×334545120² = 223840874631628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334545121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9041742 + ... + 9041778.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^334545120 is an apocalyptic number.

334545120 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 334545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

334545120 is an abundant number, since it is smaller than the sum of its proper divisors (1209872160).

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

334545120 is a wasteful number, since it uses less digits than its factorization.

334545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 334545120 is about 18290.5746219193. The cubic root of 334545120 is about 694.2004641990.

The spelling of 334545120 in words is "three hundred thirty-four million, five hundred forty-five thousand, one hundred twenty".