3192249984 has 256 divisors, whose sum is σ = 10681113600. Its totient is φ = 820592640.

The previous prime is 3192249979. The next prime is 3192249997. The reversal of 3192249984 is 4899422913.

3192249984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3192249984³ (a number of 29 digits) contains 333 as substring.

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, 3163272 + ... + 3164280.

It is an arithmetic number, because the mean of its divisors is an integer number (41723100).

Almost surely, 2^3192249984 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 3192249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340556800).

3192249984 is an abundant number, since it is smaller than the sum of its proper divisors (7488863616).

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

3192249984 is a wasteful number, since it uses less digits than its factorization.

3192249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 3192249984 is about 56499.9998584071. Note that the first 3 decimals coincide. The cubic root of 3192249984 is about 1472.4220001479.

The spelling of 3192249984 in words is "three billion, one hundred ninety-two million, two hundred forty-nine thousand, nine hundred eighty-four".