3384185158944 has 384 divisors, whose sum is σ = 10802304737280. Its totient is φ = 1026578829312.

The previous prime is 3384185158919. The next prime is 3384185158993. The reversal of 3384185158944 is 4498515814833.

It is a happy number.

3384185158944 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 1 + 8 + 5 + 1 + 589 + 44 = 666.

3384185158944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3384185158944² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57268357 + ... + 57327419.

It is an arithmetic number, because the mean of its divisors is an integer number (28131001920).

Almost surely, 2^{3384185158944} is an apocalyptic number.

3384185158944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384185158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401152368640).

3384185158944 is an abundant number, since it is smaller than the sum of its proper divisors (7418119578336).

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

3384185158944 is a wasteful number, since it uses less digits than its factorization.

3384185158944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59229 (or 59215 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 3384185158944 in words is "three trillion, three hundred eighty-four billion, one hundred eighty-five million, one hundred fifty-eight thousand, nine hundred forty-four".