3338751200625 has 105 divisors (see below), whose sum is σ = 6257605363581. Its totient is φ = 1780009506000.

The previous prime is 3338751200611. The next prime is 3338751200651. The reversal of 3338751200625 is 5260021578333.

The square root of 3338751200625 is 1827225.

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

3338751200625 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 7 + 5 + 12 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 261758094129 + 3076993106496 = 511623^2 + 1754136^2 .

It is not a de Polignac number, because 3338751200625 - 2⁵ = 3338751200593 is a prime.

It is a super-2 number, since 2×3338751200625² (a number of 26 digits) contains 22 as substring.

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

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 104 ways as a sum of consecutive naturals, for example, 1233375522 + ... + 1233378228.

Almost surely, 2^{3338751200625} is an apocalyptic number.

3338751200625 is the 1827225-th square number.

3338751200625 is the 913613-rd centered octagonal number.

It is an amenable number.

3338751200625 is a deficient number, since it is larger than the sum of its proper divisors (2918854162956).

3338751200625 is an frugal number, since it uses more digits than its factorization.

3338751200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Adding to 3338751200625 its reverse (5260021578333), we get a palindrome (8598772778958).

The spelling of 3338751200625 in words is "three trillion, three hundred thirty-eight billion, seven hundred fifty-one million, two hundred thousand, six hundred twenty-five".