3198201600 has 432 divisors, whose sum is σ = 12135473280. Its totient is φ = 733593600.

The previous prime is 3198201599. The next prime is 3198201623. The reversal of 3198201600 is 61028913.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4012402 + ... + 4013198.

Almost surely, 2^3198201600 is an apocalyptic number.

3198201600 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 3198201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067736640).

3198201600 is an abundant number, since it is smaller than the sum of its proper divisors (8937271680).

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

3198201600 is a wasteful number, since it uses less digits than its factorization.

3198201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 3198201600 is about 56552.6445005006. The cubic root of 3198201600 is about 1473.3364909651.

The spelling of 3198201600 in words is "three billion, one hundred ninety-eight million, two hundred one thousand, six hundred".