38252285601024 has 432 divisors, whose sum is σ = 112404821256000. Its totient is φ = 11539805798400.

The previous prime is 38252285601011. The next prime is 38252285601029. The reversal of 38252285601024 is 42010658225283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38252285601029) 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, 25828686364 + ... + 25828687844.

It is an arithmetic number, because the mean of its divisors is an integer number (260196345500).

Almost surely, 2^{38252285601024} 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 38252285601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56202410628000).

38252285601024 is an abundant number, since it is smaller than the sum of its proper divisors (74152535654976).

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

38252285601024 is a wasteful number, since it uses less digits than its factorization.

38252285601024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 38252285601024 in words is "thirty-eight trillion, two hundred fifty-two billion, two hundred eighty-five million, six hundred one thousand, twenty-four".