3121890200 has 192 divisors, whose sum is σ = 9030359520. Its totient is φ = 986112000.

The previous prime is 3121890199. The next prime is 3121890283. The reversal of 3121890200 is 20981213.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3121890200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482990 + ... + 489410.

Almost surely, 2^3121890200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121890200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

3121890200 is an abundant number, since it is smaller than the sum of its proper divisors (5908469320).

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

3121890200 is a wasteful number, since it uses less digits than its factorization.

3121890200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 3121890200 is about 55873.8776173625. The cubic root of 3121890200 is about 1461.5237422624.

The spelling of 3121890200 in words is "three billion, one hundred twenty-one million, eight hundred ninety thousand, two hundred".