3973767408 has 480 divisors, whose sum is σ = 13600379520. Its totient is φ = 1070530560.

The previous prime is 3973767377. The next prime is 3973767409. The reversal of 3973767408 is 8047673793.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973767409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44649028 + ... + 44649116.

It is an arithmetic number, because the mean of its divisors is an integer number (28334124).

Almost surely, 2^3973767408 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 3973767408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800189760).

3973767408 is an abundant number, since it is smaller than the sum of its proper divisors (9626612112).

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

3973767408 is a wasteful number, since it uses less digits than its factorization.

3973767408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 3973767408 is about 63037.8252162937. The cubic root of 3973767408 is about 1583.9233013061.

The spelling of 3973767408 in words is "three billion, nine hundred seventy-three million, seven hundred sixty-seven thousand, four hundred eight".