3103729920 has 288 divisors, whose sum is σ = 11373143040. Its totient is φ = 800686080.

The previous prime is 3103729907. The next prime is 3103729943. The reversal of 3103729920 is 299273013.

3103729920 is a `hidden beast` number, since 310 + 37 + 299 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069912 + ... + 1072808.

It is an arithmetic number, because the mean of its divisors is an integer number (39490080).

Almost surely, 2^3103729920 is an apocalyptic number.

3103729920 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 3103729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686571520).

3103729920 is an abundant number, since it is smaller than the sum of its proper divisors (8269413120).

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

3103729920 is a wasteful number, since it uses less digits than its factorization.

3103729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3103729920 is about 55711.1292292662. The cubic root of 3103729920 is about 1458.6842966422.

The spelling of 3103729920 in words is "three billion, one hundred three million, seven hundred twenty-nine thousand, nine hundred twenty".