3187226560 has 336 divisors, whose sum is σ = 9340047360. Its totient is φ = 1031546880.

The previous prime is 3187226543. The next prime is 3187226569. The reversal of 3187226560 is 656227813.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3187226569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38400279 + ... + 38400361.

It is an arithmetic number, because the mean of its divisors is an integer number (27797760).

Almost surely, 2^3187226560 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 3187226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670023680).

3187226560 is an abundant number, since it is smaller than the sum of its proper divisors (6152820800).

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

3187226560 is a wasteful number, since it uses less digits than its factorization.

3187226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 3187226560 is about 56455.5272759010. The cubic root of 3187226560 is about 1471.6492449558.

The spelling of 3187226560 in words is "three billion, one hundred eighty-seven million, two hundred twenty-six thousand, five hundred sixty".