3938844672 has 360 divisors, whose sum is σ = 13702738896. Its totient is φ = 1104150528.

The previous prime is 3938844671. The next prime is 3938844673. The reversal of 3938844672 is 2764488393.

It is an interprime number because it is at equal distance from previous prime (3938844671) and next prime (3938844673).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938844671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74317798 + ... + 74317850.

Almost surely, 2^3938844672 is an apocalyptic number.

3938844672 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 3938844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851369448).

3938844672 is an abundant number, since it is smaller than the sum of its proper divisors (9763894224).

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

3938844672 is an frugal number, since it uses more digits than its factorization.

3938844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3938844672 is about 62760.2156784057. The cubic root of 3938844672 is about 1579.2696341279.

The spelling of 3938844672 in words is "three billion, nine hundred thirty-eight million, eight hundred forty-four thousand, six hundred seventy-two".