3971480640 has 112 divisors (see below), whose sum is σ = 12816352320. Its totient is φ = 1041684480.

The previous prime is 3971480609. The next prime is 3971480647. The reversal of 3971480640 is 460841793.

It is a junction number, because it is equal to n+sod(n) for n = 3971480592 and 3971480601.

It is not an unprimeable number, because it can be changed into a prime (3971480647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24651 + ... + 92469.

Almost surely, 2^3971480640 is an apocalyptic number.

3971480640 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 3971480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408176160).

3971480640 is an abundant number, since it is smaller than the sum of its proper divisors (8844871680).

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

3971480640 is a wasteful number, since it uses less digits than its factorization.

3971480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67900 (or 67890 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3971480640 is about 63019.6845437995. The cubic root of 3971480640 is about 1583.6194116751.

The spelling of 3971480640 in words is "three billion, nine hundred seventy-one million, four hundred eighty thousand, six hundred forty".