3198205440 has 240 divisors, whose sum is σ = 11173713408. Its totient is φ = 845365248.

The previous prime is 3198205429. The next prime is 3198205441. The reversal of 3198205440 is 445028913.

3198205440 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 205 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 3198205395 and 3198205404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3198205441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925534 + ... + 2926626.

Almost surely, 2^3198205440 is an apocalyptic number.

3198205440 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 3198205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586856704).

3198205440 is an abundant number, since it is smaller than the sum of its proper divisors (7975507968).

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

3198205440 is a wasteful number, since it uses less digits than its factorization.

3198205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3198205440 is about 56552.6784511574. The cubic root of 3198205440 is about 1473.3370806308.

The spelling of 3198205440 in words is "three billion, one hundred ninety-eight million, two hundred five thousand, four hundred forty".