3898259308801 has 27 divisors (see below), whose sum is σ = 4640158720323. Its totient is φ = 3271029624720.

The previous prime is 3898259308793. The next prime is 3898259308837. The reversal of 3898259308801 is 1088039528983.

The square root of 3898259308801 is 1974401.

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

It can be written as a sum of positive squares in only one way, i.e., 576665578225 + 3321593730576 = 759385^2 + 1822524^2 .

It is not a de Polignac number, because 3898259308801 - 2³ = 3898259308793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3898259308891) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282332440 + ... + 282346246.

Almost surely, 2^{3898259308801} is an apocalyptic number.

3898259308801 is the 1974401-st square number.

3898259308801 is the 987201-st centered octagonal number.

It is an amenable number.

3898259308801 is a deficient number, since it is larger than the sum of its proper divisors (741899411522).

3898259308801 is an frugal number, since it uses more digits than its factorization.

3898259308801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27662 (or 13831 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 64.

Multiplying 3898259308801 by its sum of digits (64), we get a square (249488595763264 = 15795208²).

The spelling of 3898259308801 in words is "three trillion, eight hundred ninety-eight billion, two hundred fifty-nine million, three hundred eight thousand, eight hundred one".