3385983744 has 432 divisors, whose sum is σ = 11785213440. Its totient is φ = 921231360.

The previous prime is 3385983743. The next prime is 3385983761. The reversal of 3385983744 is 4473895833.

3385983744 is a `hidden beast` number, since 3 + 3 + 8 + 598 + 3 + 7 + 44 = 666.

It is a super-2 number, since 2×3385983744² = 22929771829264515072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3385983743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14167177 + ... + 14167415.

Almost surely, 2^3385983744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

3385983744 is an abundant number, since it is smaller than the sum of its proper divisors (8399229696).

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

3385983744 is a wasteful number, since it uses less digits than its factorization.

3385983744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3385983744 is about 58189.2064218099. The cubic root of 3385983744 is about 1501.6254592852.

The spelling of 3385983744 in words is "three billion, three hundred eighty-five million, nine hundred eighty-three thousand, seven hundred forty-four".