3399321875625 has 405 divisors, whose sum is σ = 6979608545481. Its totient is φ = 1592978400000.

The previous prime is 3399321875623. The next prime is 3399321875629. The reversal of 3399321875625 is 5265781239933.

It is a happy number.

The square root of 3399321875625 is 1843725.

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

3399321875625 is a `hidden beast` number, since 3 + 39 + 9 + 32 + 1 + 8 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 282289253481 + 3117032622144 = 531309^2 + 1765512^2 .

It is not a de Polignac number, because 3399321875625 - 2¹ = 3399321875623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3399321875623) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 55726588095 + ... + 55726588155.

Almost surely, 2^{3399321875625} is an apocalyptic number.

3399321875625 is the 1843725-th square number.

3399321875625 is the 921863-rd centered octagonal number.

It is an amenable number.

3399321875625 is an abundant number, since it is smaller than the sum of its proper divisors (3580286669856).

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

3399321875625 is an equidigital number, since it uses as much as digits as its factorization.

3399321875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 113 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 3399321875625 in words is "three trillion, three hundred ninety-nine billion, three hundred twenty-one million, eight hundred seventy-five thousand, six hundred twenty-five".