3054345840 has 640 divisors, whose sum is σ = 13299148800. Its totient is φ = 627056640.

The previous prime is 3054345839. The next prime is 3054345841. The reversal of 3054345840 is 485434503.

3054345840 is a `hidden beast` number, since 30 + 5 + 43 + 4 + 584 + 0 = 666.

3054345840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3054345839) and next prime (3054345841).

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

It is a junction number, because it is equal to n+sod(n) for n = 3054345795 and 3054345804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3054345841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8058771 + ... + 8059149.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^3054345840 is an apocalyptic number.

3054345840 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 3054345840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649574400).

3054345840 is an abundant number, since it is smaller than the sum of its proper divisors (10244802960).

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

3054345840 is a wasteful number, since it uses less digits than its factorization.

3054345840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3054345840 is about 55266.1364670989. The cubic root of 3054345840 is about 1450.9064233501.

The spelling of 3054345840 in words is "three billion, fifty-four million, three hundred forty-five thousand, eight hundred forty".