3396347136 has 432 divisors, whose sum is σ = 12249479424. Its totient is φ = 881197056.

The previous prime is 3396347111. The next prime is 3396347167. The reversal of 3396347136 is 6317436933.

3396347136 is a `hidden beast` number, since 3 + 3 + 9 + 634 + 7 + 1 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3396347091 and 3396347100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20337325 + ... + 20337491.

Almost surely, 2^3396347136 is an apocalyptic number.

3396347136 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 3396347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124739712).

3396347136 is an abundant number, since it is smaller than the sum of its proper divisors (8853132288).

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

3396347136 is a wasteful number, since it uses less digits than its factorization.

3396347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The square root of 3396347136 is about 58278.1874803944. The cubic root of 3396347136 is about 1503.1558942312.

The spelling of 3396347136 in words is "three billion, three hundred ninety-six million, three hundred forty-seven thousand, one hundred thirty-six".