3384033408 has 192 divisors, whose sum is σ = 11488888320. Its totient is φ = 935608320.

The previous prime is 3384033397. The next prime is 3384033503. The reversal of 3384033408 is 8043304833.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3384033408² = 22903364212920188928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243216 + ... + 256752.

It is an arithmetic number, because the mean of its divisors is an integer number (59837960).

Almost surely, 2^3384033408 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 3384033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744444160).

3384033408 is an abundant number, since it is smaller than the sum of its proper divisors (8104854912).

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

3384033408 is a wasteful number, since it uses less digits than its factorization.

3384033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13595 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3384033408 is about 58172.4454359622. The cubic root of 3384033408 is about 1501.3370904386.

The spelling of 3384033408 in words is "three billion, three hundred eighty-four million, thirty-three thousand, four hundred eight".