38229430272 has 416 divisors, whose sum is σ = 119573397504. Its totient is φ = 10734796800.

The previous prime is 38229430247. The next prime is 38229430277. The reversal of 38229430272 is 27203492283.

It is a super-2 number, since 2×38229430272² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38229430277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291827647 + ... + 291827777.

Almost surely, 2^38229430272 is an apocalyptic number.

38229430272 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 38229430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59786698752).

38229430272 is an abundant number, since it is smaller than the sum of its proper divisors (81343967232).

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

38229430272 is a wasteful number, since it uses less digits than its factorization.

38229430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 38229430272 in words is "thirty-eight billion, two hundred twenty-nine million, four hundred thirty thousand, two hundred seventy-two".