3025345680 has 320 divisors, whose sum is σ = 12537292800. Its totient is φ = 655050240.

The previous prime is 3025345669. The next prime is 3025345693. The reversal of 3025345680 is 865435203.

It is a happy number.

3025345680 is a `hidden beast` number, since 302 + 5 + 345 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282015 + ... + 292545.

It is an arithmetic number, because the mean of its divisors is an integer number (39179040).

Almost surely, 2^3025345680 is an apocalyptic number.

3025345680 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 3025345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268646400).

3025345680 is an abundant number, since it is smaller than the sum of its proper divisors (9511947120).

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

3025345680 is a wasteful number, since it uses less digits than its factorization.

3025345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3025345680 is about 55003.1424556816. The cubic root of 3025345680 is about 1446.2998293566.

The spelling of 3025345680 in words is "three billion, twenty-five million, three hundred forty-five thousand, six hundred eighty".