3385429068600 has 960 divisors, whose sum is σ = 12797523763200. Its totient is φ = 826852561920.

The previous prime is 3385429068569. The next prime is 3385429068701. The reversal of 3385429068600 is 68609245833.

3385429068600 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 4 + 29 + 0 + 6 + 8 + 600 = 666.

It is a super-2 number, since 2×3385429068600² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1372284567 + ... + 1372287033.

It is an arithmetic number, because the mean of its divisors is an integer number (13330753920).

Almost surely, 2^{3385429068600} is an apocalyptic number.

3385429068600 is a gapful number since it is divisible by the number (30) 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 3385429068600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398761881600).

3385429068600 is an abundant number, since it is smaller than the sum of its proper divisors (9412094694600).

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

3385429068600 is a wasteful number, since it uses less digits than its factorization.

3385429068600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3385429068600 in words is "three trillion, three hundred eighty-five billion, four hundred twenty-nine million, sixty-eight thousand, six hundred".