3396002112 has 140 divisors (see below), whose sum is σ = 10109949300. Its totient is φ = 1127153664.

The previous prime is 3396002101. The next prime is 3396002119. The reversal of 3396002112 is 2112006933.

3396002112 is a `hidden beast` number, since 3 + 39 + 600 + 21 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3259953216 + 136048896 = 57096^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396002119) 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 19 ways as a sum of consecutive naturals, for example, 1331014 + ... + 1333562.

Almost surely, 2^3396002112 is an apocalyptic number.

3396002112 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 3396002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054974650).

3396002112 is an abundant number, since it is smaller than the sum of its proper divisors (6713947188).

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

3396002112 is a wasteful number, since it uses less digits than its factorization.

3396002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3396002112 is about 58275.2272582441. The cubic root of 3396002112 is about 1503.1049922473.

The spelling of 3396002112 in words is "three billion, three hundred ninety-six million, two thousand, one hundred twelve".