3900211200 has 432 divisors, whose sum is σ = 14605064565. Its totient is φ = 994836480.

The previous prime is 3900211171. The next prime is 3900211201. The reversal of 3900211200 is 21120093.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3822206976 + 78004224 = 61824^2 + 8832^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=44160.

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

It is not an unprimeable number, because it can be changed into a prime (3900211201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169574389 + ... + 169574411.

Almost surely, 2^3900211200 is an apocalyptic number.

3900211200 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 3900211200

3900211200 is an abundant number, since it is smaller than the sum of its proper divisors (10704853365).

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

3900211200 is an equidigital number, since it uses as much as digits as its factorization.

3900211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3900211200 is about 62451.6709143959. The cubic root of 3900211200 is about 1574.0893299361.

Multiplying 3900211200 by its sum of digits (18), we get a square (70203801600 = 264960²).

3900211200 divided by its sum of digits (18) gives a square (216678400 = 14720²).

Adding to 3900211200 its reverse (21120093), we get a palindrome (3921331293).

The spelling of 3900211200 in words is "three billion, nine hundred million, two hundred eleven thousand, two hundred".