3073845456 has 160 divisors (see below), whose sum is σ = 9758125440. Its totient is φ = 918604800.

The previous prime is 3073845409. The next prime is 3073845461. The reversal of 3073845456 is 6545483703.

3073845456 is a `hidden beast` number, since 30 + 73 + 8 + 4 + 545 + 6 = 666.

3073845456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342466 + ... + 351326.

It is an arithmetic number, because the mean of its divisors is an integer number (60988284).

Almost surely, 2^3073845456 is an apocalyptic number.

3073845456 is a gapful number since it is divisible by the number (36) 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 3073845456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879062720).

3073845456 is an abundant number, since it is smaller than the sum of its proper divisors (6684279984).

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

3073845456 is a wasteful number, since it uses less digits than its factorization.

3073845456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8962 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3073845456 is about 55442.2713820421. The cubic root of 3073845456 is about 1453.9875111425.

The spelling of 3073845456 in words is "three billion, seventy-three million, eight hundred forty-five thousand, four hundred fifty-six".