3420421200 has 180 divisors, whose sum is σ = 13565599008. Its totient is φ = 781804800.

The previous prime is 3420421117. The next prime is 3420421201. The reversal of 3420421200 is 21240243.

3420421200 is a `hidden beast` number, since 3 + 42 + 0 + 421 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420421201) 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 35 ways as a sum of consecutive naturals, for example, 42666 + ... + 93065.

Almost surely, 2^3420421200 is an apocalyptic number.

3420421200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420421200 is an abundant number, since it is smaller than the sum of its proper divisors (10145177808).

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

3420421200 is a wasteful number, since it uses less digits than its factorization.

3420421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135762 (or 135748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3420421200 is about 58484.3671419979. The cubic root of 3420421200 is about 1506.6991034689.

Adding to 3420421200 its reverse (21240243), we get a palindrome (3441661443).

The spelling of 3420421200 in words is "three billion, four hundred twenty million, four hundred twenty-one thousand, two hundred".