3120010400 has 216 divisors, whose sum is σ = 8440334784. Its totient is φ = 1125196800.

The previous prime is 3120010393. The next prime is 3120010409. The reversal of 3120010400 is 40100213.

It is a happy number.

It is a super-2 number, since 2×3120010400² = 19468929792216320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120010409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6354155 + ... + 6354645.

It is an arithmetic number, because the mean of its divisors is an integer number (39075624).

Almost surely, 2^3120010400 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 3120010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220167392).

3120010400 is an abundant number, since it is smaller than the sum of its proper divisors (5320324384).

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

3120010400 is a wasteful number, since it uses less digits than its factorization.

3120010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3120010400 is about 55857.0532699318. The cubic root of 3120010400 is about 1461.2303383982.

Adding to 3120010400 its reverse (40100213), we get a palindrome (3160110613).

The spelling of 3120010400 in words is "three billion, one hundred twenty million, ten thousand, four hundred".