3442973025625 has 135 divisors (see below), whose sum is σ = 5243194408683. Its totient is φ = 2253349560000.

The previous prime is 3442973025619. The next prime is 3442973025631. The reversal of 3442973025625 is 5265203792443.

The square root of 3442973025625 is 1855525.

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

It is an interprime number because it is at equal distance from previous prime (3442973025619) and next prime (3442973025631).

It can be written as a sum of positive squares in 7 ways, for example, as 3106289926089 + 336683099536 = 1762467^2 + 580244^2 .

It is not a de Polignac number, because 3442973025625 - 2⁷ = 3442973025497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7468487895 + ... + 7468488355.

Almost surely, 2^{3442973025625} is an apocalyptic number.

3442973025625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3442973025625 is the 1855525-th square number.

3442973025625 is the 927763-rd centered octagonal number.

It is an amenable number.

3442973025625 is a deficient number, since it is larger than the sum of its proper divisors (1800221383058).

3442973025625 is an frugal number, since it uses more digits than its factorization.

3442973025625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 3442973025625 in words is "three trillion, four hundred forty-two billion, nine hundred seventy-three million, twenty-five thousand, six hundred twenty-five".