3967116480 has 448 divisors, whose sum is σ = 14747443200. Its totient is φ = 1002516480.

The previous prime is 3967116463. The next prime is 3967116487. The reversal of 3967116480 is 846117693.

It is a happy number.

3967116480 is a `hidden beast` number, since 3 + 96 + 71 + 16 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967116487) 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, 17789649 + ... + 17789871.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^3967116480 is an apocalyptic number.

3967116480 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 3967116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

3967116480 is an abundant number, since it is smaller than the sum of its proper divisors (10780326720).

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

3967116480 is a wasteful number, since it uses less digits than its factorization.

3967116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3967116480 is about 62985.0496546601. The cubic root of 3967116480 is about 1583.0391325830.

The spelling of 3967116480 in words is "three billion, nine hundred sixty-seven million, one hundred sixteen thousand, four hundred eighty".