38439761760 has 384 divisors, whose sum is σ = 139928342400. Its totient is φ = 9970200576.

The previous prime is 38439761749. The next prime is 38439761761. The reversal of 38439761760 is 6716793483.

38439761760 is a `hidden beast` number, since 3 + 84 + 397 + 6 + 176 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38439761697 and 38439761706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38439761761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12945556 + ... + 12948524.

It is an arithmetic number, because the mean of its divisors is an integer number (364396725).

Almost surely, 2^38439761760 is an apocalyptic number.

38439761760 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 38439761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69964171200).

38439761760 is an abundant number, since it is smaller than the sum of its proper divisors (101488580640).

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

38439761760 is an equidigital number, since it uses as much as digits as its factorization.

38439761760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 38439761760 in words is "thirty-eight billion, four hundred thirty-nine million, seven hundred sixty-one thousand, seven hundred sixty".