38729152 has 112 divisors (see below), whose sum is σ = 99486720. Its totient is φ = 14515200.

The previous prime is 38729107. The next prime is 38729161. The reversal of 38729152 is 25192783.

38729152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-5 number, since 5×38729152⁵ (a number of 39 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 142777 + ... + 143047.

Almost surely, 2^38729152 is an apocalyptic number.

38729152 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 38729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

38729152 is an abundant number, since it is smaller than the sum of its proper divisors (60757568).

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

38729152 is a wasteful number, since it uses less digits than its factorization.

38729152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 38729152 is about 6223.2750220443. The cubic root of 38729152 is about 338.3342747648.

The spelling of 38729152 in words is "thirty-eight million, seven hundred twenty-nine thousand, one hundred fifty-two".