38270029824 has 520 divisors, whose sum is σ = 129875185440. Its totient is φ = 11131748352.

The previous prime is 38270029823. The next prime is 38270029841. The reversal of 38270029824 is 42892007283.

It is a self number, because there is not a number n which added to its sum of digits gives 38270029824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38270029823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81948439 + ... + 81948905.

It is an arithmetic number, because the mean of its divisors is an integer number (249759972).

Almost surely, 2^38270029824 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 38270029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64937592720).

38270029824 is an abundant number, since it is smaller than the sum of its proper divisors (91605155616).

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

38270029824 is a wasteful number, since it uses less digits than its factorization.

38270029824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38270029824 in words is "thirty-eight billion, two hundred seventy million, twenty-nine thousand, eight hundred twenty-four".