3122781600 has 144 divisors (see below), whose sum is σ = 10208721600. Its totient is φ = 829132800.

The previous prime is 3122781593. The next prime is 3122781617. The reversal of 3122781600 is 61872213.

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 23 ways as a sum of consecutive naturals, for example, 575701 + ... + 581099.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 2^3122781600 is an apocalyptic number.

3122781600 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 3122781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104360800).

3122781600 is an abundant number, since it is smaller than the sum of its proper divisors (7085940000).

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

3122781600 is a wasteful number, since it uses less digits than its factorization.

3122781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 3122781600 is about 55881.8539420445. The cubic root of 3122781600 is about 1461.6628330272.

The spelling of 3122781600 in words is "three billion, one hundred twenty-two million, seven hundred eighty-one thousand, six hundred".