3111729696 has 144 divisors (see below), whose sum is σ = 9493848000. Its totient is φ = 1001403648.

The previous prime is 3111729689. The next prime is 3111729707. The reversal of 3111729696 is 6969271113.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218605 + ... + 232403.

It is an arithmetic number, because the mean of its divisors is an integer number (65929500).

Almost surely, 2^3111729696 is an apocalyptic number.

3111729696 is a gapful number since it is divisible by the number (36) 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 3111729696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746924000).

3111729696 is an abundant number, since it is smaller than the sum of its proper divisors (6382118304).

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

3111729696 is a wasteful number, since it uses less digits than its factorization.

3111729696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13853 (or 13833 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 3111729696 is about 55782.8799543372. The cubic root of 3111729696 is about 1459.9364606113.

The spelling of 3111729696 in words is "three billion, one hundred eleven million, seven hundred twenty-nine thousand, six hundred ninety-six".