3125534400 has 252 divisors, whose sum is σ = 11593110672. Its totient is φ = 797153280.

The previous prime is 3125534393. The next prime is 3125534407. The reversal of 3125534400 is 44355213.

3125534400 is a `hidden beast` number, since 3 + 1 + 255 + 3 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3125534393) and next prime (3125534407).

It is not an unprimeable number, because it can be changed into a prime (3125534407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 326482 + ... + 335918.

Almost surely, 2^3125534400 is an apocalyptic number.

3125534400 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 3125534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796555336).

3125534400 is an abundant number, since it is smaller than the sum of its proper divisors (8467576272).

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

3125534400 is a wasteful number, since it uses less digits than its factorization.

3125534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9488 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3125534400 is about 55906.4790520741. The cubic root of 3125534400 is about 1462.0922027606.

Adding to 3125534400 its reverse (44355213), we get a palindrome (3169889613).

The spelling of 3125534400 in words is "three billion, one hundred twenty-five million, five hundred thirty-four thousand, four hundred".