3187345680 has 160 divisors (see below), whose sum is σ = 11002331520. Its totient is φ = 848125440.

The previous prime is 3187345661. The next prime is 3187345729. The reversal of 3187345680 is 865437813.

3187345680 is a `hidden beast` number, since 3 + 1 + 87 + 3 + 4 + 568 + 0 = 666.

3187345680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214770 + ... + 1217390.

It is an arithmetic number, because the mean of its divisors is an integer number (68764572).

Almost surely, 2^3187345680 is an apocalyptic number.

3187345680 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 3187345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501165760).

3187345680 is an abundant number, since it is smaller than the sum of its proper divisors (7814985840).

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

3187345680 is a wasteful number, since it uses less digits than its factorization.

3187345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3187345680 is about 56456.5822557476. The cubic root of 3187345680 is about 1471.6675786252.

The spelling of 3187345680 in words is "three billion, one hundred eighty-seven million, three hundred forty-five thousand, six hundred eighty".