3125444400 has 480 divisors, whose sum is σ = 12147347520. Its totient is φ = 758661120.

The previous prime is 3125444389. The next prime is 3125444419. The reversal of 3125444400 is 44445213.

It is a happy number.

3125444400 is a `hidden beast` number, since 3 + 1 + 254 + 4 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15865102 + ... + 15865298.

It is an arithmetic number, because the mean of its divisors is an integer number (25306974).

Almost surely, 2^3125444400 is an apocalyptic number.

3125444400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073673760).

3125444400 is an abundant number, since it is smaller than the sum of its proper divisors (9021903120).

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

3125444400 is a wasteful number, since it uses less digits than its factorization.

3125444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3125444400 is about 55905.6741306283. The cubic root of 3125444400 is about 1462.0781689406.

Adding to 3125444400 its reverse (44445213), we get a palindrome (3169889613).

The spelling of 3125444400 in words is "three billion, one hundred twenty-five million, four hundred forty-four thousand, four hundred".