38790040278528 has 1920 divisors, whose sum is σ = 152931634606080. Its totient is φ = 9586999296000.

The previous prime is 38790040278527. The next prime is 38790040278623. The reversal of 38790040278528 is 82587204009783.

38790040278528 is a `hidden beast` number, since 3 + 87 + 9 + 0 + 0 + 4 + 0 + 27 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38790040278527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14090096800 + ... + 14090099552.

It is an arithmetic number, because the mean of its divisors is an integer number (79651893024).

Almost surely, 2^{38790040278528} 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 38790040278528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76465817303040).

38790040278528 is an abundant number, since it is smaller than the sum of its proper divisors (114141594327552).

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

38790040278528 is a wasteful number, since it uses less digits than its factorization.

38790040278528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 38790040278528 in words is "thirty-eight trillion, seven hundred ninety billion, forty million, two hundred seventy-eight thousand, five hundred twenty-eight".