38079467712 has 448 divisors, whose sum is σ = 133382430720. Its totient is φ = 10500710400.

The previous prime is 38079467689. The next prime is 38079467717. The reversal of 38079467712 is 21776497083.

It is a super-2 number, since 2×38079467712² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38079467717) 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, 18037537 + ... + 18039647.

It is an arithmetic number, because the mean of its divisors is an integer number (297728640).

Almost surely, 2^38079467712 is an apocalyptic number.

38079467712 is a gapful number since it is divisible by the number (32) 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 38079467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66691215360).

38079467712 is an abundant number, since it is smaller than the sum of its proper divisors (95302963008).

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

38079467712 is a wasteful number, since it uses less digits than its factorization.

38079467712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 38079467712 in words is "thirty-eight billion, seventy-nine million, four hundred sixty-seven thousand, seven hundred twelve".