3438618840384 has 224 divisors, whose sum is σ = 11205342892800. Its totient is φ = 906257645568.

The previous prime is 3438618840361. The next prime is 3438618840407. The reversal of 3438618840384 is 4830488168343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3438618840361) and next prime (3438618840407).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25319092 + ... + 25454540.

It is an arithmetic number, because the mean of its divisors is an integer number (50023852200).

Almost surely, 2^{3438618840384} 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 3438618840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602671446400).

3438618840384 is an abundant number, since it is smaller than the sum of its proper divisors (7766724052416).

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

3438618840384 is a wasteful number, since it uses less digits than its factorization.

3438618840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136937 (or 136927 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 3438618840384 in words is "three trillion, four hundred thirty-eight billion, six hundred eighteen million, eight hundred forty thousand, three hundred eighty-four".