3981710964 has 384 divisors, whose sum is σ = 13042778112. Its totient is φ = 913397760.

The previous prime is 3981710963. The next prime is 3981710977. The reversal of 3981710964 is 4690171893.

It is a happy number.

3981710964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981710963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37212199 + ... + 37212305.

It is an arithmetic number, because the mean of its divisors is an integer number (33965568).

Almost surely, 2^3981710964 is an apocalyptic number.

3981710964 is a gapful number since it is divisible by the number (34) 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 3981710964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521389056).

3981710964 is an abundant number, since it is smaller than the sum of its proper divisors (9061067148).

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

3981710964 is a wasteful number, since it uses less digits than its factorization.

3981710964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 3981710964 is about 63100.8000266241. The cubic root of 3981710964 is about 1584.9780190472.

The spelling of 3981710964 in words is "three billion, nine hundred eighty-one million, seven hundred ten thousand, nine hundred sixty-four".