3198520732800 has 1152 divisors, whose sum is σ = 11650272638400. Its totient is φ = 768475136000.

The previous prime is 3198520732787. The next prime is 3198520732879. The reversal of 3198520732800 is 82370258913.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3198520732800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24416188735 + ... + 24416188865.

Almost surely, 2^{3198520732800} is an apocalyptic number.

3198520732800 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 3198520732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825136319200).

3198520732800 is an abundant number, since it is smaller than the sum of its proper divisors (8451751905600).

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

3198520732800 is a wasteful number, since it uses less digits than its factorization.

3198520732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 3198520732800 in words is "three trillion, one hundred ninety-eight billion, five hundred twenty million, seven hundred thirty-two thousand, eight hundred".