3113724000 has 192 divisors, whose sum is σ = 10245493440. Its totient is φ = 826675200.

The previous prime is 3113723981. The next prime is 3113724013. The reversal of 3113724000 is 4273113.

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, 3755586 + ... + 3756414.

It is an arithmetic number, because the mean of its divisors is an integer number (53361945).

Almost surely, 2^3113724000 is an apocalyptic number.

3113724000 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 3113724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122746720).

3113724000 is an abundant number, since it is smaller than the sum of its proper divisors (7131769440).

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

3113724000 is a wasteful number, since it uses less digits than its factorization.

3113724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3113724000 is about 55800.7526830956. The cubic root of 3113724000 is about 1460.2482845404.

Adding to 3113724000 its reverse (4273113), we get a palindrome (3117997113).

The spelling of 3113724000 in words is "three billion, one hundred thirteen million, seven hundred twenty-four thousand".