3385275126912 has 512 divisors, whose sum is σ = 11666580480000. Its totient is φ = 965980173312.

The previous prime is 3385275126901. The next prime is 3385275126923. The reversal of 3385275126912 is 2196215725833.

3385275126912 is a `hidden beast` number, since 3 + 3 + 8 + 52 + 7 + 512 + 69 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3385275126901) and next prime (3385275126923).

It is a super-2 number, since 2×3385275126912² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331211913 + ... + 1331214455.

It is an arithmetic number, because the mean of its divisors is an integer number (22786290000).

Almost surely, 2^{3385275126912} is an apocalyptic number.

3385275126912 is a gapful number since it is divisible by the number (32) 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 3385275126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833290240000).

3385275126912 is an abundant number, since it is smaller than the sum of its proper divisors (8281305353088).

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

3385275126912 is a wasteful number, since it uses less digits than its factorization.

3385275126912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3678 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 3385275126912 in words is "three trillion, three hundred eighty-five billion, two hundred seventy-five million, one hundred twenty-six thousand, nine hundred twelve".