3140881920 has 720 divisors, whose sum is σ = 13047276528. Its totient is φ = 716636160.

The previous prime is 3140881907. The next prime is 3140881943. The reversal of 3140881920 is 291880413.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184757752 + ... + 184757768.

Almost surely, 2^3140881920 is an apocalyptic number.

3140881920 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 3140881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523638264).

3140881920 is an abundant number, since it is smaller than the sum of its proper divisors (9906394608).

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

3140881920 is an frugal number, since it uses more digits than its factorization.

3140881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3140881920 is about 56043.5716206596. The cubic root of 3140881920 is about 1464.4814326349.

The spelling of 3140881920 in words is "three billion, one hundred forty million, eight hundred eighty-one thousand, nine hundred twenty".