3994176960 has 448 divisors, whose sum is σ = 15361920000. Its totient is φ = 973099008.

The previous prime is 3994176943. The next prime is 3994176961. The reversal of 3994176960 is 696714993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3994176897 and 3994176906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994176961) 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, 4760221 + ... + 4761059.

It is an arithmetic number, because the mean of its divisors is an integer number (34290000).

Almost surely, 2^3994176960 is an apocalyptic number.

3994176960 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 3994176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960000).

3994176960 is an abundant number, since it is smaller than the sum of its proper divisors (11367743040).

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

3994176960 is a wasteful number, since it uses less digits than its factorization.

3994176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3994176960 is about 63199.5012638549. The cubic root of 3994176960 is about 1586.6303862272.

The spelling of 3994176960 in words is "three billion, nine hundred ninety-four million, one hundred seventy-six thousand, nine hundred sixty".