3872519200 has 432 divisors, whose sum is σ = 11572134336. Its totient is φ = 1251993600.

The previous prime is 3872519173. The next prime is 3872519201. The reversal of 3872519200 is 29152783.

It is a self number, because there is not a number n which added to its sum of digits gives 3872519200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872519201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73066374 + ... + 73066426.

It is an arithmetic number, because the mean of its divisors is an integer number (26787348).

Almost surely, 2^3872519200 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 3872519200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786067168).

3872519200 is an abundant number, since it is smaller than the sum of its proper divisors (7699615136).

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

3872519200 is a wasteful number, since it uses less digits than its factorization.

3872519200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 3872519200 is about 62229.5685345801. The cubic root of 3872519200 is about 1570.3550659468.

The spelling of 3872519200 in words is "three billion, eight hundred seventy-two million, five hundred nineteen thousand, two hundred".