3955781025 has 81 divisors (see below), whose sum is σ = 8255800371. Its totient is φ = 1805338080.

The previous prime is 3955780999. The next prime is 3955781029. The reversal of 3955781025 is 5201875593.

The square root of 3955781025 is 62895.

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., 1424081169 + 2531699856 = 37737^2 + 50316^2 .

It is not a de Polignac number, because 3955781025 - 2⁵ = 3955780993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3955781029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6603676 + ... + 6604274.

Almost surely, 2^3955781025 is an apocalyptic number.

3955781025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3955781025 is the 62895-th square number.

3955781025 is the 31448-th centered octagonal number.

It is an amenable number.

3955781025 is an abundant number, since it is smaller than the sum of its proper divisors (4300019346).

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

3955781025 is an equidigital number, since it uses as much as digits as its factorization.

3955781025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The cubic root of 3955781025 is about 1581.5299266433.

The spelling of 3955781025 in words is "three billion, nine hundred fifty-five million, seven hundred eighty-one thousand, twenty-five".