3971304960 has 480 divisors, whose sum is σ = 15097417632. Its totient is φ = 887685120.

The previous prime is 3971304949. The next prime is 3971304971. The reversal of 3971304960 is 694031793.

It is an interprime number because it is at equal distance from previous prime (3971304949) and next prime (3971304971).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22955434 + ... + 22955606.

Almost surely, 2^3971304960 is an apocalyptic number.

3971304960 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 3971304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548708816).

3971304960 is an abundant number, since it is smaller than the sum of its proper divisors (11126112672).

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

3971304960 is a wasteful number, since it uses less digits than its factorization.

3971304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3971304960 is about 63018.2906781833. The cubic root of 3971304960 is about 1583.5960606561.

The spelling of 3971304960 in words is "three billion, nine hundred seventy-one million, three hundred four thousand, nine hundred sixty".