334002343104 has 224 divisors, whose sum is σ = 1037383142400. Its totient is φ = 105207137280.

The previous prime is 334002343049. The next prime is 334002343109. The reversal of 334002343104 is 401343200433.

334002343104 is a `hidden beast` number, since 3 + 340 + 0 + 2 + 3 + 4 + 310 + 4 = 666.

It is a super-2 number, since 2×334002343104² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (334002343109) 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, 2284359 + ... + 2426169.

Almost surely, 2^334002343104 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 334002343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518691571200).

334002343104 is an abundant number, since it is smaller than the sum of its proper divisors (703380799296).

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

334002343104 is a wasteful number, since it uses less digits than its factorization.

334002343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141908 (or 141892 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 334002343104 its reverse (401343200433), we get a palindrome (735345543537).

The spelling of 334002343104 in words is "three hundred thirty-four billion, two million, three hundred forty-three thousand, one hundred four".