3073245840 has 320 divisors, whose sum is σ = 12151603200. Its totient is φ = 699342336.

The previous prime is 3073245827. The next prime is 3073245869. The reversal of 3073245840 is 485423703.

It is a happy number.

3073245840 is a `hidden beast` number, since 3 + 0 + 73 + 2 + 4 + 584 + 0 = 666.

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 = 3073245795 and 3073245804.

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, 6637449 + ... + 6637911.

It is an arithmetic number, because the mean of its divisors is an integer number (37973760).

Almost surely, 2^3073245840 is an apocalyptic number.

3073245840 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 3073245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075801600).

3073245840 is an abundant number, since it is smaller than the sum of its proper divisors (9078357360).

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

3073245840 is a wasteful number, since it uses less digits than its factorization.

3073245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3073245840 is about 55436.8635476431. The cubic root of 3073245840 is about 1453.8929617273.

The spelling of 3073245840 in words is "three billion, seventy-three million, two hundred forty-five thousand, eight hundred forty".