3385662336 has 192 divisors, whose sum is σ = 11789837280. Its totient is φ = 910393344.

The previous prime is 3385662299. The next prime is 3385662367. The reversal of 3385662336 is 6332665833.

3385662336 is a `hidden beast` number, since 3 + 38 + 566 + 23 + 36 = 666.

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

It is a super-2 number, since 2×3385662336² = 22925418906817953792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3385662291 and 3385662300.

It is a congruent number.

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, 124740 + ... + 149436.

Almost surely, 2^3385662336 is an apocalyptic number.

3385662336 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 3385662336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894918640).

3385662336 is an abundant number, since it is smaller than the sum of its proper divisors (8404174944).

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

3385662336 is a wasteful number, since it uses less digits than its factorization.

3385662336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24741 (or 24726 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The square root of 3385662336 is about 58186.4446069701. Note that the first 3 decimals coincide. The cubic root of 3385662336 is about 1501.5779448114.

The spelling of 3385662336 in words is "three billion, three hundred eighty-five million, six hundred sixty-two thousand, three hundred thirty-six".