3300626725440 has 224 divisors, whose sum is σ = 11434388388480. Its totient is φ = 799996723200.

The previous prime is 3300626725433. The next prime is 3300626725447. The reversal of 3300626725440 is 445276260033.

It is an interprime number because it is at equal distance from previous prime (3300626725433) and next prime (3300626725447).

It is a junction number, because it is equal to n+sod(n) for n = 3300626725392 and 3300626725401.

It is not an unprimeable number, because it can be changed into a prime (3300626725447) 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 31 ways as a sum of consecutive naturals, for example, 60048370 + ... + 60103310.

Almost surely, 2^{3300626725440} is an apocalyptic number.

3300626725440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300626725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717194194240).

3300626725440 is an abundant number, since it is smaller than the sum of its proper divisors (8133761663040).

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

3300626725440 is a wasteful number, since it uses less digits than its factorization.

3300626725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60661 (or 60651 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 3300626725440 in words is "three trillion, three hundred billion, six hundred twenty-six million, seven hundred twenty-five thousand, four hundred forty".