334897920 has 216 divisors, whose sum is σ = 1324561056. Its totient is φ = 76529664.

The previous prime is 334897919. The next prime is 334897949. The reversal of 334897920 is 29798433.

It is a happy number.

It is a super-2 number, since 2×334897920² = 224313233640652800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 78564 + ... + 82716.

Almost surely, 2^334897920 is an apocalyptic number.

334897920 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 334897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662280528).

334897920 is an abundant number, since it is smaller than the sum of its proper divisors (989663136).

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

334897920 is a wasteful number, since it uses less digits than its factorization.

334897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 334897920 is about 18300.2163921632. The cubic root of 334897920 is about 694.4444052670. Note that the first 4 decimals are identical.

The spelling of 334897920 in words is "three hundred thirty-four million, eight hundred ninety-seven thousand, nine hundred twenty".