3897972768 has 48 divisors (see below), whose sum is σ = 10425252096. Its totient is φ = 1274807040.

The previous prime is 3897972763. The next prime is 3897972769. The reversal of 3897972768 is 8672797983.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3897972699 and 3897972708.

It is not an unprimeable number, because it can be changed into a prime (3897972761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377968 + ... + 388143.

It is an arithmetic number, because the mean of its divisors is an integer number (217192752).

Almost surely, 2^3897972768 is an apocalyptic number.

It is an amenable number.

3897972768 is an abundant number, since it is smaller than the sum of its proper divisors (6527279328).

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

3897972768 is a wasteful number, since it uses less digits than its factorization.

3897972768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766177 (or 766169 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 66.

The square root of 3897972768 is about 62433.7470283500. The cubic root of 3897972768 is about 1573.7881354592.

The spelling of 3897972768 in words is "three billion, eight hundred ninety-seven million, nine hundred seventy-two thousand, seven hundred sixty-eight".