3187345920 has 320 divisors, whose sum is σ = 11508013440. Its totient is φ = 745472000.

The previous prime is 3187345907. The next prime is 3187345927. The reversal of 3187345920 is 295437813.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (3187345927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449270 + ... + 2450570.

It is an arithmetic number, because the mean of its divisors is an integer number (35962542).

Almost surely, 2^3187345920 is an apocalyptic number.

3187345920 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 3187345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754006720).

3187345920 is an abundant number, since it is smaller than the sum of its proper divisors (8320667520).

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

3187345920 is a wasteful number, since it uses less digits than its factorization.

3187345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3187345920 is about 56456.5843812748. The cubic root of 3187345920 is about 1471.6676155629.

The spelling of 3187345920 in words is "three billion, one hundred eighty-seven million, three hundred forty-five thousand, nine hundred twenty".