3971640000 has 280 divisors, whose sum is σ = 13711610880. Its totient is φ = 1012352000.

The previous prime is 3971639993. The next prime is 3971640073. The reversal of 3971640000 is 461793.

It is a happy number.

3971640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3971640000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759281 + ... + 2760719.

Almost surely, 2^3971640000 is an apocalyptic number.

3971640000 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 3971640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855805440).

3971640000 is an abundant number, since it is smaller than the sum of its proper divisors (9739970880).

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

3971640000 is a wasteful number, since it uses less digits than its factorization.

3971640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3971640000 is about 63020.9488979657. The cubic root of 3971640000 is about 1583.6405928782.

The spelling of 3971640000 in words is "three billion, nine hundred seventy-one million, six hundred forty thousand".