3117723840 has 672 divisors, whose sum is σ = 14173346304. Its totient is φ = 608993280.

The previous prime is 3117723821. The next prime is 3117723841. The reversal of 3117723840 is 483277113.

3117723840 is a `hidden beast` number, since 311 + 77 + 238 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 3117723795 and 3117723804.

It is not an unprimeable number, because it can be changed into a prime (3117723841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769507 + ... + 3770333.

Almost surely, 2^3117723840 is an apocalyptic number.

3117723840 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 3117723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086673152).

3117723840 is an abundant number, since it is smaller than the sum of its proper divisors (11055622464).

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

3117723840 is a wasteful number, since it uses less digits than its factorization.

3117723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3117723840 is about 55836.5815572551. The cubic root of 3117723840 is about 1460.8732875164.

The spelling of 3117723840 in words is "three billion, one hundred seventeen million, seven hundred twenty-three thousand, eight hundred forty".