3192396480 has 504 divisors, whose sum is σ = 13603236192. Its totient is φ = 672841728.

The previous prime is 3192396479. The next prime is 3192396517. The reversal of 3192396480 is 846932913.

It is a happy number.

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

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

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, 3406572 + ... + 3407508.

It is an arithmetic number, because the mean of its divisors is an integer number (26990548).

Almost surely, 2^3192396480 is an apocalyptic number.

3192396480 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 3192396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801618096).

3192396480 is an abundant number, since it is smaller than the sum of its proper divisors (10410839712).

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

3192396480 is a wasteful number, since it uses less digits than its factorization.

3192396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3192396480 is about 56501.2962683158. The cubic root of 3192396480 is about 1472.4445235128. Note that the first 3 decimals are identical.

The spelling of 3192396480 in words is "three billion, one hundred ninety-two million, three hundred ninety-six thousand, four hundred eighty".