3384954188352 has 336 divisors, whose sum is σ = 11568531746304. Its totient is φ = 934262784000.

The previous prime is 3384954188299. The next prime is 3384954188353. The reversal of 3384954188352 is 2538814594833.

3384954188352 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 9 + 541 + 8 + 83 + 5 + 2 = 666.

3384954188352 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 2×3384954188352² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384954188352.

It is not an unprimeable number, because it can be changed into a prime (3384954188353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2832202 + ... + 3845942.

Almost surely, 2^{3384954188352} is an apocalyptic number.

3384954188352 is a gapful number since it is divisible by the number (32) 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 3384954188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784265873152).

3384954188352 is an abundant number, since it is smaller than the sum of its proper divisors (8183577557952).

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

3384954188352 is a wasteful number, since it uses less digits than its factorization.

3384954188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013818 (or 1013805 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 3384954188352 in words is "three trillion, three hundred eighty-four billion, nine hundred fifty-four million, one hundred eighty-eight thousand, three hundred fifty-two".