3112536000 has 448 divisors, whose sum is σ = 11929042944. Its totient is φ = 700416000.

The previous prime is 3112535999. The next prime is 3112536013. The reversal of 3112536000 is 6352113.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16295905 + ... + 16296095.

It is an arithmetic number, because the mean of its divisors is an integer number (26627328).

Almost surely, 2^3112536000 is an apocalyptic number.

3112536000 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 3112536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964521472).

3112536000 is an abundant number, since it is smaller than the sum of its proper divisors (8816506944).

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

3112536000 is a wasteful number, since it uses less digits than its factorization.

3112536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3112536000 is about 55790.1066498353. The cubic root of 3112536000 is about 1460.0625481429.

Adding to 3112536000 its reverse (6352113), we get a palindrome (3118888113).

The spelling of 3112536000 in words is "three billion, one hundred twelve million, five hundred thirty-six thousand".