3192048000 has 384 divisors, whose sum is σ = 11902494240. Its totient is φ = 850176000.

The previous prime is 3192047941. The next prime is 3192048019. The reversal of 3192048000 is 8402913.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3887590 + ... + 3888410.

Almost surely, 2^3192048000 is an apocalyptic number.

3192048000 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 3192048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951247120).

3192048000 is an abundant number, since it is smaller than the sum of its proper divisors (8710446240).

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

3192048000 is an frugal number, since it uses more digits than its factorization.

3192048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3192048000 is about 56498.2123611004. The cubic root of 3192048000 is about 1472.3909445226.

The spelling of 3192048000 in words is "three billion, one hundred ninety-two million, forty-eight thousand".