3938101440 has 448 divisors, whose sum is σ = 15662330880. Its totient is φ = 816168960.

The previous prime is 3938101369. The next prime is 3938101441. The reversal of 3938101440 is 441018393.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (3938101441) 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, 5328591 + ... + 5329329.

It is an arithmetic number, because the mean of its divisors is an integer number (34960560).

Almost surely, 2^3938101440 is an apocalyptic number.

3938101440 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 3938101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831165440).

3938101440 is an abundant number, since it is smaller than the sum of its proper divisors (11724229440).

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

3938101440 is a wasteful number, since it uses less digits than its factorization.

3938101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3938101440 is about 62754.2941956963. The cubic root of 3938101440 is about 1579.1702955603.

The spelling of 3938101440 in words is "three billion, nine hundred thirty-eight million, one hundred one thousand, four hundred forty".