4038705680 has 40 divisors (see below), whose sum is σ = 9449828952. Its totient is φ = 1605187584.

The previous prime is 4038705673. The next prime is 4038705707. The reversal of 4038705680 is 865078304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1263944704 + 2774760976 = 35552^2 + 52676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4038705680² = 32622287139328524800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148217 + ... + 173336.

Almost surely, 2^4038705680 is an apocalyptic number.

4038705680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4038705680 is an abundant number, since it is smaller than the sum of its proper divisors (5411123272).

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

4038705680 is a wasteful number, since it uses less digits than its factorization.

4038705680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321723 (or 321717 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 4038705680 is about 63550.8117965459. The cubic root of 4038705680 is about 1592.5047451323.

The spelling of 4038705680 in words is "four billion, thirty-eight million, seven hundred five thousand, six hundred eighty".