38259681024 has 144 divisors (see below), whose sum is σ = 108774664992. Its totient is φ = 11896356864.

The previous prime is 38259681011. The next prime is 38259681059. The reversal of 38259681024 is 42018695283.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462362 + ... + 1488294.

It is an arithmetic number, because the mean of its divisors is an integer number (755379618).

Almost surely, 2^38259681024 is an apocalyptic number.

38259681024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38259681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54387332496).

38259681024 is an abundant number, since it is smaller than the sum of its proper divisors (70514983968).

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

38259681024 is a wasteful number, since it uses less digits than its factorization.

38259681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26082 (or 26068 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 38259681024 in words is "thirty-eight billion, two hundred fifty-nine million, six hundred eighty-one thousand, twenty-four".