3897331200 has 720 divisors, whose sum is σ = 16622686080. Its totient is φ = 885841920.

The previous prime is 3897331183. The next prime is 3897331213. The reversal of 3897331200 is 21337983.

It is a happy number.

3897331200 is a `hidden beast` number, since 38 + 97 + 331 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772711 + ... + 21772889.

It is an arithmetic number, because the mean of its divisors is an integer number (23087064).

Almost surely, 2^3897331200 is an apocalyptic number.

3897331200 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 3897331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

3897331200 is an abundant number, since it is smaller than the sum of its proper divisors (12725354880).

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

3897331200 is an equidigital number, since it uses as much as digits as its factorization.

3897331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3897331200 is about 62428.6088264027. The cubic root of 3897331200 is about 1573.7017873695.

The spelling of 3897331200 in words is "three billion, eight hundred ninety-seven million, three hundred thirty-one thousand, two hundred".