3122841600 has 432 divisors, whose sum is σ = 11644410960. Its totient is φ = 829440000.

The previous prime is 3122841599. The next prime is 3122841611. The reversal of 3122841600 is 61482213.

3122841600 is a `hidden beast` number, since 3 + 12 + 2 + 8 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441475 + ... + 12441725.

It is an arithmetic number, because the mean of its divisors is an integer number (26954655).

Almost surely, 2^3122841600 is an apocalyptic number.

3122841600 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 3122841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822205480).

3122841600 is an abundant number, since it is smaller than the sum of its proper divisors (8521569360).

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

3122841600 is an equidigital number, since it uses as much as digits as its factorization.

3122841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3122841600 is about 55882.3907863649. The cubic root of 3122841600 is about 1461.6721942548.

The spelling of 3122841600 in words is "three billion, one hundred twenty-two million, eight hundred forty-one thousand, six hundred".