3198056400 has 720 divisors, whose sum is σ = 14104097280. Its totient is φ = 651801600.

The previous prime is 3198056387. The next prime is 3198056401. The reversal of 3198056400 is 46508913.

3198056400 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 0 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3198056401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23007531 + ... + 23007669.

It is an arithmetic number, because the mean of its divisors is an integer number (19589024).

Almost surely, 2^3198056400 is an apocalyptic number.

3198056400 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 3198056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052048640).

3198056400 is an abundant number, since it is smaller than the sum of its proper divisors (10906040880).

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

3198056400 is a wasteful number, since it uses less digits than its factorization.

3198056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3198056400 is about 56551.3607263344. The cubic root of 3198056400 is about 1473.3141938824.

The spelling of 3198056400 in words is "three billion, one hundred ninety-eight million, fifty-six thousand, four hundred".