3072468672 has 504 divisors, whose sum is σ = 11369869056. Its totient is φ = 805469184.

The previous prime is 3072468589. The next prime is 3072468689. The reversal of 3072468672 is 2768642703.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 18397933 + ... + 18398099.

It is an arithmetic number, because the mean of its divisors is an integer number (22559264).

Almost surely, 2^3072468672 is an apocalyptic number.

3072468672 is a gapful number since it is divisible by the number (32) 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 3072468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684934528).

3072468672 is an abundant number, since it is smaller than the sum of its proper divisors (8297400384).

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

3072468672 is a wasteful number, since it uses less digits than its factorization.

3072468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3072468672 is about 55429.8536169815. The cubic root of 3072468672 is about 1453.7703970293.

The spelling of 3072468672 in words is "three billion, seventy-two million, four hundred sixty-eight thousand, six hundred seventy-two".