3388905216 has 144 divisors (see below), whose sum is σ = 10146988320. Its totient is φ = 1129448448.

The previous prime is 3388905209. The next prime is 3388905251. The reversal of 3388905216 is 6125098833.

It is a happy number.

3388905216 is a `hidden beast` number, since 3 + 38 + 8 + 90 + 521 + 6 = 666.

3388905216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3388905216² = 22969357126064013312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556846 + ... + 562898.

Almost surely, 2^3388905216 is an apocalyptic number.

3388905216 is a gapful number since it is divisible by the number (36) 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 3388905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073494160).

3388905216 is an abundant number, since it is smaller than the sum of its proper divisors (6758083104).

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

3388905216 is an frugal number, since it uses more digits than its factorization.

3388905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3388905216 is about 58214.3042215571. The cubic root of 3388905216 is about 1502.0572093034.

The spelling of 3388905216 in words is "three billion, three hundred eighty-eight million, nine hundred five thousand, two hundred sixteen".