3120550400 has 240 divisors, whose sum is σ = 8676676800. Its totient is φ = 1102233600.

The previous prime is 3120550397. The next prime is 3120550469. The reversal of 3120550400 is 40550213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5209301 + ... + 5209899.

It is an arithmetic number, because the mean of its divisors is an integer number (36152820).

Almost surely, 2^3120550400 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 3120550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338338400).

3120550400 is an abundant number, since it is smaller than the sum of its proper divisors (5556126400).

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

3120550400 is a wasteful number, since it uses less digits than its factorization.

3120550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 3120550400 is about 55861.8868281407. The cubic root of 3120550400 is about 1461.3146350044.

The spelling of 3120550400 in words is "three billion, one hundred twenty million, five hundred fifty thousand, four hundred".