3420324600 has 384 divisors, whose sum is σ = 13368430080. Its totient is φ = 702720000.

The previous prime is 3420324569. The next prime is 3420324623. The reversal of 3420324600 is 64230243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4665834 + ... + 4666566.

It is an arithmetic number, because the mean of its divisors is an integer number (34813620).

Almost surely, 2^3420324600 is an apocalyptic number.

3420324600 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 3420324600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684215040).

3420324600 is an abundant number, since it is smaller than the sum of its proper divisors (9948105480).

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

3420324600 is a wasteful number, since it uses less digits than its factorization.

3420324600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3420324600 is about 58483.5412744475. The cubic root of 3420324600 is about 1506.6849192018.

Adding to 3420324600 its reverse (64230243), we get a palindrome (3484554843).

The spelling of 3420324600 in words is "three billion, four hundred twenty million, three hundred twenty-four thousand, six hundred".