39438121632 has 384 divisors, whose sum is σ = 132852400128. Its totient is φ = 9964339200.

The previous prime is 39438121631. The next prime is 39438121661. The reversal of 39438121632 is 23612183493.

39438121632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (39438121631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28976632 + ... + 28977992.

It is an arithmetic number, because the mean of its divisors is an integer number (345969792).

Almost surely, 2^39438121632 is an apocalyptic number.

39438121632 is a gapful number since it is divisible by the number (32) 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 39438121632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66426200064).

39438121632 is an abundant number, since it is smaller than the sum of its proper divisors (93414278496).

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

39438121632 is a wasteful number, since it uses less digits than its factorization.

39438121632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 39438121632 in words is "thirty-nine billion, four hundred thirty-eight million, one hundred twenty-one thousand, six hundred thirty-two".