3384617987008 has 56 divisors (see below), whose sum is σ = 6847312767120. Its totient is φ = 1659350384640.

The previous prime is 3384617986961. The next prime is 3384617987017. The reversal of 3384617987008 is 8007897164833.

It is a super-2 number, since 2×3384617987008² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5183488 + ... + 5799808.

It is an arithmetic number, because the mean of its divisors is an integer number (122273442270).

Almost surely, 2^{3384617987008} 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 3384617987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423656383560).

3384617987008 is an abundant number, since it is smaller than the sum of its proper divisors (3462694780112).

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

3384617987008 is a wasteful number, since it uses less digits than its factorization.

3384617987008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618005 (or 617995 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

The spelling of 3384617987008 in words is "three trillion, three hundred eighty-four billion, six hundred seventeen million, nine hundred eighty-seven thousand, eight".