3002434400 has 72 divisors (see below), whose sum is σ = 8376807600. Its totient is φ = 1029404160.

The previous prime is 3002434367. The next prime is 3002434403. The reversal of 3002434400 is 44342003.

It is a happy number.

It is a super-2 number, since 2×3002434400² = 18029224652606720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002434403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262475 + ... + 273674.

It is an arithmetic number, because the mean of its divisors is an integer number (116344550).

Almost surely, 2^3002434400 is an apocalyptic number.

It is an amenable number.

3002434400 is an abundant number, since it is smaller than the sum of its proper divisors (5374373200).

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

3002434400 is a wasteful number, since it uses less digits than its factorization.

3002434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536176 (or 536163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3002434400 is about 54794.4741739530. The cubic root of 3002434400 is about 1442.6395773176.

Adding to 3002434400 its reverse (44342003), we get a palindrome (3046776403).

The spelling of 3002434400 in words is "three billion, two million, four hundred thirty-four thousand, four hundred".