3073641984 has 320 divisors, whose sum is σ = 10857876480. Its totient is φ = 839393280.

The previous prime is 3073641947. The next prime is 3073642063. The reversal of 3073641984 is 4891463703.

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, 2224974 + ... + 2226354.

It is an arithmetic number, because the mean of its divisors is an integer number (33930864).

Almost surely, 2^3073641984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3073641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428938240).

3073641984 is an abundant number, since it is smaller than the sum of its proper divisors (7784234496).

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

3073641984 is a wasteful number, since it uses less digits than its factorization.

3073641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3073641984 is about 55440.4363619191. The cubic root of 3073641984 is about 1453.9554283894.

The spelling of 3073641984 in words is "three billion, seventy-three million, six hundred forty-one thousand, nine hundred eighty-four".