3742889969025 has 81 divisors (see below), whose sum is σ = 6776270952763. Its totient is φ = 1974895824000.

The previous prime is 3742889969023. The next prime is 3742889969051. The reversal of 3742889969025 is 5209699882473.

The square root of 3742889969025 is 1934655.

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

3742889969025 is a `hidden beast` number, since 3 + 7 + 428 + 8 + 9 + 96 + 90 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 122135571441 + 3620754397584 = 349479^2 + 1902828^2 .

It is not a de Polignac number, because 3742889969025 - 2¹ = 3742889969023 is a prime.

It is a super-3 number, since 3×3742889969025³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3742889969023) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2931001687 + ... + 2931002963.

Almost surely, 2^{3742889969025} is an apocalyptic number.

3742889969025 is the 1934655-th square number.

3742889969025 is the 967328-th centered octagonal number.

It is an amenable number.

3742889969025 is a deficient number, since it is larger than the sum of its proper divisors (3033380983738).

3742889969025 is an equidigital number, since it uses as much as digits as its factorization.

3742889969025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 3742889969025 in words is "three trillion, seven hundred forty-two billion, eight hundred eighty-nine million, nine hundred sixty-nine thousand, twenty-five".