4080343680 has 768 divisors, whose sum is σ = 17302464000. Its totient is φ = 905748480.

The previous prime is 4080343667. The next prime is 4080343691. The reversal of 4080343680 is 863430804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51649881 + ... + 51649959.

It is an arithmetic number, because the mean of its divisors is an integer number (22529250).

Almost surely, 2^4080343680 is an apocalyptic number.

4080343680 is a gapful number since it is divisible by the number (40) 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 4080343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651232000).

4080343680 is an abundant number, since it is smaller than the sum of its proper divisors (13222120320).

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

4080343680 is a wasteful number, since it uses less digits than its factorization.

4080343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4080343680 is about 63877.5678935884. The cubic root of 4080343680 is about 1597.9588137482.

The spelling of 4080343680 in words is "four billion, eighty million, three hundred forty-three thousand, six hundred eighty".