3827794425625 has 15 divisors (see below), whose sum is σ = 4783273035321. Its totient is φ = 3062196411000.

The previous prime is 3827794425619. The next prime is 3827794425667. The reversal of 3827794425625 is 5265244977283.

The square root of 3827794425625 is 1956475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 300099082969 + 3527695342656 = 547813^2 + 1878216^2 .

It is not a de Polignac number, because 3827794425625 - 2³ = 3827794425617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48872746 + ... + 48951004.

Almost surely, 2^{3827794425625} is an apocalyptic number.

3827794425625 is the 1956475-th square number.

3827794425625 is the 978238-th centered octagonal number.

It is an amenable number.

3827794425625 is a deficient number, since it is larger than the sum of its proper divisors (955478609696).

3827794425625 is an frugal number, since it uses more digits than its factorization.

3827794425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156538 (or 78264 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 64.

Multiplying 3827794425625 by its sum of digits (64), we get a square (244978843240000 = 15651800²).

The spelling of 3827794425625 in words is "three trillion, eight hundred twenty-seven billion, seven hundred ninety-four million, four hundred twenty-five thousand, six hundred twenty-five".