3897548928 has 640 divisors, whose sum is σ = 15177697920. Its totient is φ = 967458816.

The previous prime is 3897548891. The next prime is 3897548959. The reversal of 3897548928 is 8298457983.

3897548928 is a `hidden beast` number, since 3 + 89 + 7 + 548 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (34836480) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229267576 + ... + 229267592.

It is an arithmetic number, because the mean of its divisors is an integer number (23715153).

Almost surely, 2^3897548928 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 3897548928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588848960).

3897548928 is an abundant number, since it is smaller than the sum of its proper divisors (11280148992).

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

3897548928 is an frugal number, since it uses more digits than its factorization.

3897548928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The square root of 3897548928 is about 62430.3526179374. The cubic root of 3897548928 is about 1573.7310922575.

The spelling of 3897548928 in words is "three billion, eight hundred ninety-seven million, five hundred forty-eight thousand, nine hundred twenty-eight".