3346789600 has 144 divisors (see below), whose sum is σ = 10186598016. Its totient is φ = 1043136000.

The previous prime is 3346789571. The next prime is 3346789603. The reversal of 3346789600 is 69876433.

It is a super-2 number, since 2×3346789600² = 22402001253336320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346789603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34435 + ... + 88765.

It is an arithmetic number, because the mean of its divisors is an integer number (70740264).

Almost surely, 2^3346789600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093299008).

3346789600 is an abundant number, since it is smaller than the sum of its proper divisors (6839808416).

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

3346789600 is a wasteful number, since it uses less digits than its factorization.

3346789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54369 (or 54356 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The square root of 3346789600 is about 57851.4442343491. Note that the first 3 decimals coincide. The cubic root of 3346789600 is about 1495.8089826362.

The spelling of 3346789600 in words is "three billion, three hundred forty-six million, seven hundred eighty-nine thousand, six hundred".