3001200400 has 120 divisors (see below), whose sum is σ = 8328779424. Its totient is φ = 1027123200.

The previous prime is 3001200361. The next prime is 3001200409. The reversal of 3001200400 is 40021003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3001200409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54739 + ... + 94861.

Almost surely, 2^3001200400 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 3001200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164389712).

3001200400 is an abundant number, since it is smaller than the sum of its proper divisors (5327579024).

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

3001200400 is a wasteful number, since it uses less digits than its factorization.

3001200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40169 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3001200400 is about 54783.2127571942. The cubic root of 3001200400 is about 1442.4419086987.

Adding to 3001200400 its reverse (40021003), we get a palindrome (3041221403).

It can be divided in two parts, 3001 and 200400, that added together give a square (203401 = 451²).

The spelling of 3001200400 in words is "three billion, one million, two hundred thousand, four hundred".