5820640344 has 128 divisors (see below), whose sum is σ = 16765056000. Its totient is φ = 1868936832.

The previous prime is 5820640333. The next prime is 5820640361. The reversal of 5820640344 is 4430460285.

5820640344 is a `hidden beast` number, since 5 + 8 + 2 + 0 + 640 + 3 + 4 + 4 = 666.

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 = 5820640299 and 5820640308.

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, 3676177 + ... + 3677759.

It is an arithmetic number, because the mean of its divisors is an integer number (130977000).

Almost surely, 2^5820640344 is an apocalyptic number.

5820640344 is a gapful number since it is divisible by the number (54) 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 5820640344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528000).

5820640344 is an abundant number, since it is smaller than the sum of its proper divisors (10944415656).

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

5820640344 is a wasteful number, since it uses less digits than its factorization.

5820640344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5820640344 is about 76293.1212102376. The cubic root of 5820640344 is about 1798.8305514924.

The spelling of 5820640344 in words is "five billion, eight hundred twenty million, six hundred forty thousand, three hundred forty-four".