3120042400 has 72 divisors (see below), whose sum is σ = 7625136960. Its totient is φ = 1246652160.

The previous prime is 3120042397. The next prime is 3120042413. The reversal of 3120042400 is 42400213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060131 + ... + 1063069.

It is an arithmetic number, because the mean of its divisors is an integer number (105904680).

Almost surely, 2^3120042400 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 3120042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812568480).

3120042400 is an abundant number, since it is smaller than the sum of its proper divisors (4505094560).

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

3120042400 is a wasteful number, since it uses less digits than its factorization.

3120042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3120042400 is about 55857.3397146695. The cubic root of 3120042400 is about 1461.2353340238.

Adding to 3120042400 its reverse (42400213), we get a palindrome (3162442613).

The spelling of 3120042400 in words is "three billion, one hundred twenty million, forty-two thousand, four hundred".