3927968145 has 48 divisors (see below), whose sum is σ = 6968332800. Its totient is φ = 2046280320.

The previous prime is 3927968117. The next prime is 3927968203. The reversal of 3927968145 is 5418697293.

It is not a de Polignac number, because 3927968145 - 2⁶ = 3927968081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3927968091 and 3927968100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342616 + ... + 353894.

It is an arithmetic number, because the mean of its divisors is an integer number (145173600).

Almost surely, 2^3927968145 is an apocalyptic number.

It is an amenable number.

3927968145 is a deficient number, since it is larger than the sum of its proper divisors (3040364655).

3927968145 is a wasteful number, since it uses less digits than its factorization.

3927968145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11467 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3927968145 is about 62673.5043299798. The cubic root of 3927968145 is about 1577.8146555674.

The spelling of 3927968145 in words is "three billion, nine hundred twenty-seven million, nine hundred sixty-eight thousand, one hundred forty-five".