3067345287825 has 288 divisors, whose sum is σ = 6753901472640. Its totient is φ = 1214051328000.

The previous prime is 3067345287781. The next prime is 3067345287887. The reversal of 3067345287825 is 5287825437603.

It is not a de Polignac number, because 3067345287825 - 2⁶ = 3067345287761 is a prime.

It is a super-2 number, since 2×3067345287825² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91663497 + ... + 91696953.

It is an arithmetic number, because the mean of its divisors is an integer number (23451046780).

Almost surely, 2^{3067345287825} is an apocalyptic number.

3067345287825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3067345287825 is an abundant number, since it is smaller than the sum of its proper divisors (3686556184815).

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

3067345287825 is a wasteful number, since it uses less digits than its factorization.

3067345287825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33617 (or 33605 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 60.

The spelling of 3067345287825 in words is "three trillion, sixty-seven billion, three hundred forty-five million, two hundred eighty-seven thousand, eight hundred twenty-five".