3797879904225 has 405 divisors, whose sum is σ = 8053568544483. Its totient is φ = 1767964968000.

The previous prime is 3797879904179. The next prime is 3797879904227. The reversal of 3797879904225 is 5224099787973.

The square root of 3797879904225 is 1948815.

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

3797879904225 is a `hidden beast` number, since 37 + 9 + 7 + 87 + 9 + 90 + 422 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1367236765521 + 2430643138704 = 1169289^2 + 1559052^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 3797879904225 - 2²⁹ = 3797343033313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3797879904227) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 29904566112 + ... + 29904566238.

Almost surely, 2^{3797879904225} is an apocalyptic number.

3797879904225 is the 1948815-th square number.

3797879904225 is the 974408-th centered octagonal number.

It is an amenable number.

3797879904225 is an abundant number, since it is smaller than the sum of its proper divisors (4255688640258).

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

3797879904225 is a wasteful number, since it uses less digits than its factorization.

3797879904225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 3797879904225 in words is "three trillion, seven hundred ninety-seven billion, eight hundred seventy-nine million, nine hundred four thousand, two hundred twenty-five".