3957827920 has 20 divisors (see below), whose sum is σ = 9201950100. Its totient is φ = 1583131136.

The previous prime is 3957827917. The next prime is 3957827921. The reversal of 3957827920 is 297287593.

It can be written as a sum of positive squares in 2 ways, for example, as 2144430864 + 1813397056 = 46308^2 + 42584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957827921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24736345 + ... + 24736504.

It is an arithmetic number, because the mean of its divisors is an integer number (460097505).

Almost surely, 2^3957827920 is an apocalyptic number.

It is an amenable number.

3957827920 is an abundant number, since it is smaller than the sum of its proper divisors (5244122180).

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

3957827920 is a wasteful number, since it uses less digits than its factorization.

3957827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49472862 (or 49472856 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 3957827920 is about 62911.2702144854. The cubic root of 3957827920 is about 1581.8026639762.

The spelling of 3957827920 in words is "three billion, nine hundred fifty-seven million, eight hundred twenty-seven thousand, nine hundred twenty".