3840689405760 has 224 divisors, whose sum is σ = 12498737698944. Its totient is φ = 998633472000.

The previous prime is 3840689405759. The next prime is 3840689405767. The reversal of 3840689405760 is 675049860483.

It is a super-2 number, since 2×3840689405760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3840689405694 and 3840689405703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840689405767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71254020 + ... + 71307900.

It is an arithmetic number, because the mean of its divisors is an integer number (55797936156).

Almost surely, 2^{3840689405760} is an apocalyptic number.

3840689405760 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 3840689405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249368849472).

3840689405760 is an abundant number, since it is smaller than the sum of its proper divisors (8658048293184).

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

3840689405760 is a wasteful number, since it uses less digits than its factorization.

3840689405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55753 (or 55743 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 3840689405760 in words is "three trillion, eight hundred forty billion, six hundred eighty-nine million, four hundred five thousand, seven hundred sixty".