3102400400 has 120 divisors (see below), whose sum is σ = 8169268800. Its totient is φ = 1122854400.

The previous prime is 3102400349. The next prime is 3102400417. The reversal of 3102400400 is 40042013.

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, 1006061 + ... + 1009139.

It is an arithmetic number, because the mean of its divisors is an integer number (68077240).

Almost surely, 2^3102400400 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 3102400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084634400).

3102400400 is an abundant number, since it is smaller than the sum of its proper divisors (5066868400).

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

3102400400 is a wasteful number, since it uses less digits than its factorization.

3102400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3326 counting only the distinct ones).

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

The square root of 3102400400 is about 55699.1956853957. The cubic root of 3102400400 is about 1458.4759852474.

Adding to 3102400400 its reverse (40042013), we get a palindrome (3142442413).

The spelling of 3102400400 in words is "three billion, one hundred two million, four hundred thousand, four hundred".