38378609733072 has 240 divisors, whose sum is σ = 123048051331392. Its totient is φ = 10241516113920.

The previous prime is 38378609732993. The next prime is 38378609733073. The reversal of 38378609733072 is 27033790687383.

It is a junction number, because it is equal to n+sod(n) for n = 38378609732994 and 38378609733012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38378609733073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574358 + ... + 8901450.

Almost surely, 2^{38378609733072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38378609733072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61524025665696).

38378609733072 is an abundant number, since it is smaller than the sum of its proper divisors (84669441598320).

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

38378609733072 is a wasteful number, since it uses less digits than its factorization.

38378609733072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327266 (or 7327253 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 66.

The spelling of 38378609733072 in words is "thirty-eight trillion, three hundred seventy-eight billion, six hundred nine million, seven hundred thirty-three thousand, seventy-two".