38629872 has 100 divisors (see below), whose sum is σ = 114690576. Its totient is φ = 12545280.

The previous prime is 38629819. The next prime is 38629879. The reversal of 38629872 is 27892683.

38629872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38629879) 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 19 ways as a sum of consecutive naturals, for example, 52773 + ... + 53499.

Almost surely, 2^38629872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38629872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57345288).

38629872 is an abundant number, since it is smaller than the sum of its proper divisors (76060704).

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

38629872 is a wasteful number, since it uses less digits than its factorization.

38629872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 38629872 is about 6215.2933961318. The cubic root of 38629872 is about 338.0449270952.

The spelling of 38629872 in words is "thirty-eight million, six hundred twenty-nine thousand, eight hundred seventy-two".