3371409216 has 504 divisors, whose sum is σ = 12158122496. Its totient is φ = 906992640.

The previous prime is 3371409199. The next prime is 3371409241. The reversal of 3371409216 is 6129041733.

3371409216 is a `hidden beast` number, since 3 + 37 + 1 + 409 + 216 = 666.

3371409216 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 (504).

It is a super-2 number, since 2×3371409216² = 22732800203459469312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91119150 + ... + 91119186.

Almost surely, 2^3371409216 is an apocalyptic number.

3371409216 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 3371409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079061248).

3371409216 is an abundant number, since it is smaller than the sum of its proper divisors (8786713280).

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

3371409216 is an frugal number, since it uses more digits than its factorization.

3371409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3371409216 is about 58063.8374205495. The cubic root of 3371409216 is about 1499.4678432284.

The spelling of 3371409216 in words is "three billion, three hundred seventy-one million, four hundred nine thousand, two hundred sixteen".