3938529672 has 576 divisors, whose sum is σ = 14789174400. Its totient is φ = 922521600.

The previous prime is 3938529619. The next prime is 3938529697. The reversal of 3938529672 is 2769258393.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30065047 + ... + 30065177.

It is an arithmetic number, because the mean of its divisors is an integer number (25675650).

Almost surely, 2^3938529672 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 3938529672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394587200).

3938529672 is an abundant number, since it is smaller than the sum of its proper divisors (10850644728).

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

3938529672 is a wasteful number, since it uses less digits than its factorization.

3938529672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3938529672 is about 62757.7060766246. The cubic root of 3938529672 is about 1579.2275335259.

The spelling of 3938529672 in words is "three billion, nine hundred thirty-eight million, five hundred twenty-nine thousand, six hundred seventy-two".