3385608678 has 112 divisors (see below), whose sum is σ = 7810263216. Its totient is φ = 1099915200.

The previous prime is 3385608649. The next prime is 3385608703. The reversal of 3385608678 is 8768065833.

It is a happy number.

3385608678 is a `hidden beast` number, since 3 + 3 + 8 + 560 + 8 + 6 + 78 = 666.

3385608678 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3385608678² = 22924692241097815368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12222276 + ... + 12222552.

It is an arithmetic number, because the mean of its divisors is an integer number (69734493).

Almost surely, 2^3385608678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385608678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905131608).

3385608678 is an abundant number, since it is smaller than the sum of its proper divisors (4424654538).

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

3385608678 is a wasteful number, since it uses less digits than its factorization.

3385608678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3385608678 is about 58185.9835183698. The cubic root of 3385608678 is about 1501.5700121346.

The spelling of 3385608678 in words is "three billion, three hundred eighty-five million, six hundred eight thousand, six hundred seventy-eight".