3385688124 has 288 divisors, whose sum is σ = 10323464256. Its totient is φ = 855429120.

The previous prime is 3385688123. The next prime is 3385688129. The reversal of 3385688124 is 4218865833.

It is a super-2 number, since 2×3385688124² = 22925768145989278752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385688123) 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, 24712984 + ... + 24713120.

It is an arithmetic number, because the mean of its divisors is an integer number (35845362).

Almost surely, 2^3385688124 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 3385688124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161732128).

3385688124 is an abundant number, since it is smaller than the sum of its proper divisors (6937776132).

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

3385688124 is a wasteful number, since it uses less digits than its factorization.

3385688124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 3385688124 is about 58186.6662045524. Note that the first 3 decimals coincide. The cubic root of 3385688124 is about 1501.5817572209.

The spelling of 3385688124 in words is "three billion, three hundred eighty-five million, six hundred eighty-eight thousand, one hundred twenty-four".