3891888225 has 27 divisors (see below), whose sum is σ = 6972480723. Its totient is φ = 2075174640.

The previous prime is 3891888197. The next prime is 3891888233. The reversal of 3891888225 is 5228881983.

The square root of 3891888225 is 62385.

It is a perfect power (a square), and thus also a powerful number.

3891888225 is a `hidden beast` number, since 389 + 188 + 82 + 2 + 5 = 666.

3891888225 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 only one way, i.e., 1401079761 + 2490808464 = 37431^2 + 49908^2 .

It is not a de Polignac number, because 3891888225 - 2⁷ = 3891888097 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 933696 + ... + 937854.

Almost surely, 2^3891888225 is an apocalyptic number.

3891888225 is the 62385-th square number.

3891888225 is the 31193-rd centered octagonal number.

It is an amenable number.

3891888225 is a deficient number, since it is larger than the sum of its proper divisors (3080592498).

3891888225 is an frugal number, since it uses more digits than its factorization.

3891888225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 4167 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The cubic root of 3891888225 is about 1572.9688404975.

The spelling of 3891888225 in words is "three billion, eight hundred ninety-one million, eight hundred eighty-eight thousand, two hundred twenty-five".