39384430032640 has 1152 divisors, whose sum is σ = 127102290739200. Its totient is φ = 11324072263680.

The previous prime is 39384430032631. The next prime is 39384430032643. The reversal of 39384430032640 is 4623003448393.

39384430032640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39384430032640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39384430032643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11166550557 + ... + 11166554083.

It is an arithmetic number, because the mean of its divisors is an integer number (110331849600).

Almost surely, 2^{39384430032640} 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 39384430032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63551145369600).

39384430032640 is an abundant number, since it is smaller than the sum of its proper divisors (87717860706560).

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

39384430032640 is a wasteful number, since it uses less digits than its factorization.

39384430032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 49.

The spelling of 39384430032640 in words is "thirty-nine trillion, three hundred eighty-four billion, four hundred thirty million, thirty-two thousand, six hundred forty".