38129719680 has 640 divisors, whose sum is σ = 151776979200. Its totient is φ = 9057484800.

The previous prime is 38129719673. The next prime is 38129719699. The reversal of 38129719680 is 8691792183.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 19542705 + ... + 19544655.

It is an arithmetic number, because the mean of its divisors is an integer number (237151530).

Almost surely, 2^38129719680 is an apocalyptic number.

38129719680 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 38129719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888489600).

38129719680 is an abundant number, since it is smaller than the sum of its proper divisors (113647259520).

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

38129719680 is a wasteful number, since it uses less digits than its factorization.

38129719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 38129719680 in words is "thirty-eight billion, one hundred twenty-nine million, seven hundred nineteen thousand, six hundred eighty".