3250042400 has 144 divisors (see below), whose sum is σ = 8721004320. Its totient is φ = 1172889600.

The previous prime is 3250042343. The next prime is 3250042403. The reversal of 3250042400 is 42400523.

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

It is not an unprimeable number, because it can be changed into a prime (3250042403) 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, 1221872 + ... + 1224528.

It is an arithmetic number, because the mean of its divisors is an integer number (60562530).

Almost surely, 2^3250042400 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 3250042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360502160).

3250042400 is an abundant number, since it is smaller than the sum of its proper divisors (5470961920).

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

3250042400 is a wasteful number, since it uses less digits than its factorization.

3250042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3250042400 is about 57009.1431263442. The cubic root of 3250042400 is about 1481.2544757056.

Adding to 3250042400 its reverse (42400523), we get a palindrome (3292442923).

The spelling of 3250042400 in words is "three billion, two hundred fifty million, forty-two thousand, four hundred".