3974613760480 has 768 divisors, whose sum is σ = 11662443555840. Its totient is φ = 1261279641600.

The previous prime is 3974613760471. The next prime is 3974613760501. The reversal of 3974613760480 is 840673164793.

It is a congruent number.

It is an unprimeable number.

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, 9179246344 + ... + 9179246776.

It is an arithmetic number, because the mean of its divisors is an integer number (15185473380).

Almost surely, 2^{3974613760480} 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 3974613760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831221777920).

3974613760480 is an abundant number, since it is smaller than the sum of its proper divisors (7687829795360).

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

3974613760480 is a wasteful number, since it uses less digits than its factorization.

3974613760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 3974613760480 in words is "three trillion, nine hundred seventy-four billion, six hundred thirteen million, seven hundred sixty thousand, four hundred eighty".