3188680380 has 144 divisors (see below), whose sum is σ = 9787377600. Its totient is φ = 840278016.

The previous prime is 3188680373. The next prime is 3188680381. The reversal of 3188680380 is 830868813.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3188680381) 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, 9136446 + ... + 9136794.

It is an arithmetic number, because the mean of its divisors is an integer number (67967900).

Almost surely, 2^3188680380 is an apocalyptic number.

3188680380 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 3188680380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893688800).

3188680380 is an abundant number, since it is smaller than the sum of its proper divisors (6598697220).

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

3188680380 is a wasteful number, since it uses less digits than its factorization.

3188680380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3188680380 is about 56468.4016065622. The cubic root of 3188680380 is about 1471.8729700704.

The spelling of 3188680380 in words is "three billion, one hundred eighty-eight million, six hundred eighty thousand, three hundred eighty".