3396609216 has 672 divisors, whose sum is σ = 13473427968. Its totient is φ = 789626880.

The previous prime is 3396609211. The next prime is 3396609217. The reversal of 3396609216 is 6129066933.

It is a happy number.

3396609216 is a `hidden beast` number, since 3 + 39 + 6 + 609 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3396609216² = 23073908332432269312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3396609211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24792700 + ... + 24792836.

It is an arithmetic number, because the mean of its divisors is an integer number (20049744).

Almost surely, 2^3396609216 is an apocalyptic number.

3396609216 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 3396609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736713984).

3396609216 is an abundant number, since it is smaller than the sum of its proper divisors (10076818752).

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

3396609216 is a wasteful number, since it uses less digits than its factorization.

3396609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3396609216 is about 58280.4359626796. The cubic root of 3396609216 is about 1503.1945570404.

The spelling of 3396609216 in words is "three billion, three hundred ninety-six million, six hundred nine thousand, two hundred sixteen".