3976648704 has 576 divisors, whose sum is σ = 14565096000. Its totient is φ = 1040449536.

The previous prime is 3976648703. The next prime is 3976648723. The reversal of 3976648704 is 4078466793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976648703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107476974 + ... + 107477010.

It is an arithmetic number, because the mean of its divisors is an integer number (25286625).

Almost surely, 2^3976648704 is an apocalyptic number.

3976648704 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 3976648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282548000).

3976648704 is an abundant number, since it is smaller than the sum of its proper divisors (10588447296).

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

3976648704 is a wasteful number, since it uses less digits than its factorization.

3976648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3976648704 is about 63060.6747823079. The cubic root of 3976648704 is about 1584.3060320853.

The spelling of 3976648704 in words is "three billion, nine hundred seventy-six million, six hundred forty-eight thousand, seven hundred four".