334040408 has 64 divisors (see below), whose sum is σ = 713845440. Its totient is φ = 145373184.

The previous prime is 334040401. The next prime is 334040449. The reversal of 334040408 is 804040433.

It is a happy number.

It is a super-2 number, since 2×334040408² = 223165988353612928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334040401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173660 + ... + 175572.

It is an arithmetic number, because the mean of its divisors is an integer number (11153835).

Almost surely, 2^334040408 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 334040408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356922720).

334040408 is an abundant number, since it is smaller than the sum of its proper divisors (379805032).

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

334040408 is a wasteful number, since it uses less digits than its factorization.

334040408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 334040408 is about 18276.7723627560. The cubic root of 334040408 is about 693.8511863014.

The spelling of 334040408 in words is "three hundred thirty-four million, forty thousand, four hundred eight".