38782103520 has 192 divisors, whose sum is σ = 125676956160. Its totient is φ = 10045421568.

The previous prime is 38782103509. The next prime is 38782103539. The reversal of 38782103520 is 2530128783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13194211 + ... + 13197149.

It is an arithmetic number, because the mean of its divisors is an integer number (654567480).

Almost surely, 2^38782103520 is an apocalyptic number.

38782103520 is a gapful number since it is divisible by the number (30) 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 38782103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62838478080).

38782103520 is an abundant number, since it is smaller than the sum of its proper divisors (86894852640).

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

38782103520 is a wasteful number, since it uses less digits than its factorization.

38782103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 38782103520 in words is "thirty-eight billion, seven hundred eighty-two million, one hundred three thousand, five hundred twenty".