3002122400 has 144 divisors (see below), whose sum is σ = 7554453984. Its totient is φ = 1164334080.

The previous prime is 3002122373. The next prime is 3002122447. The reversal of 3002122400 is 42212003.

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, 6776579 + ... + 6777021.

It is an arithmetic number, because the mean of its divisors is an integer number (52461486).

Almost surely, 2^3002122400 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 3002122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777226992).

3002122400 is an abundant number, since it is smaller than the sum of its proper divisors (4552331584).

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

3002122400 is a wasteful number, since it uses less digits than its factorization.

3002122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3002122400 is about 54791.6270975776. The cubic root of 3002122400 is about 1442.5896046310.

Adding to 3002122400 its reverse (42212003), we get a palindrome (3044334403).

The spelling of 3002122400 in words is "three billion, two million, one hundred twenty-two thousand, four hundred".