38128029696 has 273 divisors, whose sum is σ = 115338445729. Its totient is φ = 12596871168.

The previous prime is 38128029691. The next prime is 38128029727. The reversal of 38128029696 is 69692082183.

The square root of 38128029696 is 195264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 671846400 + 37456183296 = 25920^2 + 193536^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38128029691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 337416136 + ... + 337416248.

Almost surely, 2^38128029696 is an apocalyptic number.

38128029696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38128029696 is the 195264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38128029696

38128029696 is an abundant number, since it is smaller than the sum of its proper divisors (77210416033).

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

38128029696 is an frugal number, since it uses more digits than its factorization.

38128029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38128029696 in words is "thirty-eight billion, one hundred twenty-eight million, twenty-nine thousand, six hundred ninety-six".