3232478776800 has 1152 divisors, whose sum is σ = 13971119791104. Its totient is φ = 629749186560.

The previous prime is 3232478776741. The next prime is 3232478776801. The reversal of 3232478776800 is 86778742323.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232478776801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196770187 + ... + 196786613.

It is an arithmetic number, because the mean of its divisors is an integer number (12127708152).

Almost surely, 2^{3232478776800} is an apocalyptic number.

3232478776800 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 3232478776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985559895552).

3232478776800 is an abundant number, since it is smaller than the sum of its proper divisors (10738641014304).

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

3232478776800 is a wasteful number, since it uses less digits than its factorization.

3232478776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16540 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 3232478776800 in words is "three trillion, two hundred thirty-two billion, four hundred seventy-eight million, seven hundred seventy-six thousand, eight hundred".