3193884242400 has 144 divisors (see below), whose sum is σ = 10413629203824. Its totient is φ = 850265825280.

The previous prime is 3193884242399. The next prime is 3193884242431. The reversal of 3193884242400 is 42424883913.

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 3193884242400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301122 + ... + 2545278.

It is an arithmetic number, because the mean of its divisors is an integer number (72316869471).

Almost surely, 2^{3193884242400} is an apocalyptic number.

3193884242400 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 3193884242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206814601912).

3193884242400 is an abundant number, since it is smaller than the sum of its proper divisors (7219744961424).

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

3193884242400 is a wasteful number, since it uses less digits than its factorization.

3193884242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244773 (or 2244760 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 3193884242400 in words is "three trillion, one hundred ninety-three billion, eight hundred eighty-four million, two hundred forty-two thousand, four hundred".