3291666347025 has 243 divisors, whose sum is σ = 7063805295729. Its totient is φ = 1460957420160.

The previous prime is 3291666347023. The next prime is 3291666347027. The reversal of 3291666347025 is 5207436661923.

The square root of 3291666347025 is 1814295.

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 (3291666347023) and next prime (3291666347027).

It can be written as a sum of positive squares in 4 ways, for example, as 312479882001 + 2979186465024 = 558999^2 + 1726032^2 .

It is not a de Polignac number, because 3291666347025 - 2¹ = 3291666347023 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3291666347023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7048535842 + ... + 7048536308.

Almost surely, 2^{3291666347025} is an apocalyptic number.

3291666347025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3291666347025 is the 1814295-th square number.

3291666347025 is the 907148-th centered octagonal number.

It is an amenable number.

3291666347025 is an abundant number, since it is smaller than the sum of its proper divisors (3772138948704).

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

3291666347025 is an equidigital number, since it uses as much as digits as its factorization.

3291666347025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3291666347025 in words is "three trillion, two hundred ninety-one billion, six hundred sixty-six million, three hundred forty-seven thousand, twenty-five".