38039863680 has 1024 divisors, whose sum is σ = 175691980800. Its totient is φ = 7548567552.

The previous prime is 38039863583. The next prime is 38039863753. The reversal of 38039863680 is 8636893083.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26731449 + ... + 26732871.

It is an arithmetic number, because the mean of its divisors is an integer number (171574200).

Almost surely, 2^38039863680 is an apocalyptic number.

38039863680 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 38039863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87845990400).

38039863680 is an abundant number, since it is smaller than the sum of its proper divisors (137652117120).

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

38039863680 is a wasteful number, since it uses less digits than its factorization.

38039863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38039863680 in words is "thirty-eight billion, thirty-nine million, eight hundred sixty-three thousand, six hundred eighty".