334200384 has 168 divisors, whose sum is σ = 1143182880. Its totient is φ = 95461632.

The previous prime is 334200371. The next prime is 334200397. The reversal of 334200384 is 483002433.

It is an interprime number because it is at equal distance from previous prime (334200371) and next prime (334200397).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×334200384² = 223379793331494912, which contains 22 as substring.

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

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, 82699 + ... + 86645.

It is an arithmetic number, because the mean of its divisors is an integer number (6804660).

Almost surely, 2^334200384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571591440).

334200384 is an abundant number, since it is smaller than the sum of its proper divisors (808982496).

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

334200384 is a wasteful number, since it uses less digits than its factorization.

334200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 334200384 is about 18281.1483227942. The cubic root of 334200384 is about 693.9619332048.

The spelling of 334200384 in words is "three hundred thirty-four million, two hundred thousand, three hundred eighty-four".