3973473681408 has 1920 divisors, whose sum is σ = 15654678036480. Its totient is φ = 966131712000.

The previous prime is 3973473681403. The next prime is 3973473681413. The reversal of 3973473681408 is 8041863743793.

3973473681408 is a `hidden beast` number, since 3 + 97 + 3 + 47 + 368 + 140 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3973473681403) and next prime (3973473681413).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3973473681403) 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 127 ways as a sum of consecutive naturals, for example, 55964418013 + ... + 55964418083.

It is an arithmetic number, because the mean of its divisors is an integer number (8153478144).

Almost surely, 2^{3973473681408} 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 3973473681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827339018240).

3973473681408 is an abundant number, since it is smaller than the sum of its proper divisors (11681204355072).

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

3973473681408 is a wasteful number, since it uses less digits than its factorization.

3973473681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3973473681408 in words is "three trillion, nine hundred seventy-three billion, four hundred seventy-three million, six hundred eighty-one thousand, four hundred eight".