3977956944 has 120 divisors (see below), whose sum is σ = 12008997000. Its totient is φ = 1221958656.

The previous prime is 3977956937. The next prime is 3977956979. The reversal of 3977956944 is 4496597793.

3977956944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 312865344 + 3665091600 = 17688^2 + 60540^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445682 + ... + 1448430.

It is an arithmetic number, because the mean of its divisors is an integer number (100074975).

Almost surely, 2^3977956944 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 3977956944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004498500).

3977956944 is an abundant number, since it is smaller than the sum of its proper divisors (8031040056).

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

3977956944 is a wasteful number, since it uses less digits than its factorization.

3977956944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3540 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The square root of 3977956944 is about 63071.0467964501. The cubic root of 3977956944 is about 1584.4797483166.

The spelling of 3977956944 in words is "three billion, nine hundred seventy-seven million, nine hundred fifty-six thousand, nine hundred forty-four".