38320867876240 has 80 divisors (see below), whose sum is σ = 93969537796800. Its totient is φ = 14493062094336.

The previous prime is 38320867876201. The next prime is 38320867876271. The reversal of 38320867876240 is 4267876802383.

It is a happy number.

38320867876240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23991642 + ... + 25539001.

It is an arithmetic number, because the mean of its divisors is an integer number (1174619222460).

Almost surely, 2^{38320867876240} is an apocalyptic number.

It is an amenable number.

38320867876240 is an abundant number, since it is smaller than the sum of its proper divisors (55648669920560).

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

38320867876240 is a wasteful number, since it uses less digits than its factorization.

38320867876240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49531184 (or 49531178 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 64.

The spelling of 38320867876240 in words is "thirty-eight trillion, three hundred twenty billion, eight hundred sixty-seven million, eight hundred seventy-six thousand, two hundred forty".