3808332735025 has 81 divisors (see below), whose sum is σ = 5949781284771. Its totient is φ = 2409987041280.

The previous prime is 3808332735023. The next prime is 3808332735043. The reversal of 3808332735025 is 5205372338083.

The square root of 3808332735025 is 1951495.

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

3808332735025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 1873807814641 + 1934524920384 = 1368871^2 + 1390872^2 .

It is not a de Polignac number, because 3808332735025 - 2¹ = 3808332735023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3808332735025.

It is not an unprimeable number, because it can be changed into a prime (3808332735023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 887928081 + ... + 887932369.

Almost surely, 2^{3808332735025} is an apocalyptic number.

3808332735025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3808332735025 is the 1951495-th square number.

3808332735025 is the 975748-th centered octagonal number.

It is an amenable number.

3808332735025 is a deficient number, since it is larger than the sum of its proper divisors (2141448549746).

3808332735025 is an frugal number, since it uses more digits than its factorization.

3808332735025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

Multiplying 3808332735025 by its sum of digits (49), we get a square (186608304016225 = 13660465²).

3808332735025 divided by its sum of digits (49) gives a square (77721076225 = 278785²).

The spelling of 3808332735025 in words is "three trillion, eight hundred eight billion, three hundred thirty-two million, seven hundred thirty-five thousand, twenty-five".