3074448960 has 560 divisors, whose sum is σ = 12268029312. Its totient is φ = 724377600.

The previous prime is 3074448941. The next prime is 3074448967. The reversal of 3074448960 is 698444703.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074448967) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11689789 + ... + 11690051.

Almost surely, 2^3074448960 is an apocalyptic number.

3074448960 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 3074448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134014656).

3074448960 is an abundant number, since it is smaller than the sum of its proper divisors (9193580352).

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

3074448960 is a wasteful number, since it uses less digits than its factorization.

3074448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3074448960 is about 55447.7137490808. The cubic root of 3074448960 is about 1454.0826612154.

The spelling of 3074448960 in words is "three billion, seventy-four million, four hundred forty-eight thousand, nine hundred sixty".