3031725600 has 648 divisors, whose sum is σ = 11972233728. Its totient is φ = 720691200.

The previous prime is 3031725581. The next prime is 3031725601. The reversal of 3031725600 is 65271303.

It is a happy number.

3031725600 is a `hidden beast` number, since 3 + 0 + 31 + 7 + 25 + 600 = 666.

It is a super-2 number, since 2×3031725600² = 18382720227390720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031725601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64504777 + ... + 64504823.

Almost surely, 2^3031725600 is an apocalyptic number.

3031725600 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 3031725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986116864).

3031725600 is an abundant number, since it is smaller than the sum of its proper divisors (8940508128).

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

3031725600 is a wasteful number, since it uses less digits than its factorization.

3031725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3031725600 is about 55061.1078711644. The cubic root of 3031725600 is about 1447.3157792169.

Adding to 3031725600 its reverse (65271303), we get a palindrome (3096996903).

The spelling of 3031725600 in words is "three billion, thirty-one million, seven hundred twenty-five thousand, six hundred".