3409091712 has 192 divisors, whose sum is σ = 10957215360. Its totient is φ = 1048826880.

The previous prime is 3409091659. The next prime is 3409091713. The reversal of 3409091712 is 2171909043.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3409091712³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3409091713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400137 + ... + 408567.

It is an arithmetic number, because the mean of its divisors is an integer number (57068830).

Almost surely, 2^3409091712 is an apocalyptic number.

3409091712 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 3409091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478607680).

3409091712 is an abundant number, since it is smaller than the sum of its proper divisors (7548123648).

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

3409091712 is an equidigital number, since it uses as much as digits as its factorization.

3409091712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3409091712 is about 58387.4276878165. The cubic root of 3409091712 is about 1505.0337129271.

The spelling of 3409091712 in words is "three billion, four hundred nine million, ninety-one thousand, seven hundred twelve".