3444423004314 has 80 divisors (see below), whose sum is σ = 7998772674816. Its totient is φ = 1106677080000.

The previous prime is 3444423004307. The next prime is 3444423004349. The reversal of 3444423004314 is 4134003244443.

3444423004314 is a `hidden beast` number, since 34 + 4 + 4 + 4 + 2 + 300 + 4 + 314 = 666.

It is a super-3 number, since 3×3444423004314³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105747 + ... + 2626790.

Almost surely, 2^{3444423004314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444423004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999386337408).

3444423004314 is an abundant number, since it is smaller than the sum of its proper divisors (4554349670502).

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

3444423004314 is a wasteful number, since it uses less digits than its factorization.

3444423004314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732833 (or 2732824 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3444423004314 its reverse (4134003244443), we get a palindrome (7578426248757).

The spelling of 3444423004314 in words is "three trillion, four hundred forty-four billion, four hundred twenty-three million, four thousand, three hundred fourteen".