3948916500480 has 768 divisors, whose sum is σ = 15236953804800. Its totient is φ = 853569699840.

The previous prime is 3948916500467. The next prime is 3948916500481. The reversal of 3948916500480 is 840056198493.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 3948916500480.

It is not an unprimeable number, because it can be changed into a prime (3948916500481) 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, 440182395 + ... + 440191365.

It is an arithmetic number, because the mean of its divisors is an integer number (19839783600).

Almost surely, 2^{3948916500480} is an apocalyptic number.

3948916500480 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 3948916500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618476902400).

3948916500480 is an abundant number, since it is smaller than the sum of its proper divisors (11288037304320).

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

3948916500480 is a wasteful number, since it uses less digits than its factorization.

3948916500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 3948916500480 in words is "three trillion, nine hundred forty-eight billion, nine hundred sixteen million, five hundred thousand, four hundred eighty".