3947728704 has 224 divisors, whose sum is σ = 11225174400. Its totient is φ = 1222287360.

The previous prime is 3947728699. The next prime is 3947728709. The reversal of 3947728704 is 4078277493.

3947728704 = T₆₂₃₂ + T₆₂₃₃ + ... + T₆₄₂₈.

3947728704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3947728699) and next prime (3947728709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3947728709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20039134 + ... + 20039330.

Almost surely, 2^3947728704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612587200).

3947728704 is an abundant number, since it is smaller than the sum of its proper divisors (7277445696).

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

3947728704 is a wasteful number, since it uses less digits than its factorization.

3947728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The square root of 3947728704 is about 62830.9533908248. The cubic root of 3947728704 is about 1580.4560858192.

The spelling of 3947728704 in words is "three billion, nine hundred forty-seven million, seven hundred twenty-eight thousand, seven hundred four".