38429424 has 80 divisors (see below), whose sum is σ = 120349440. Its totient is φ = 11643840.

The previous prime is 38429387. The next prime is 38429441. The reversal of 38429424 is 42492483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 709 + ... + 8795.

It is an arithmetic number, because the mean of its divisors is an integer number (1504368).

Almost surely, 2^38429424 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 38429424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60174720).

38429424 is an abundant number, since it is smaller than the sum of its proper divisors (81920016).

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

38429424 is a wasteful number, since it uses less digits than its factorization.

38429424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8103 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38429424 is about 6199.1470381013. The cubic root of 38429424 is about 337.4592148246.

The spelling of 38429424 in words is "thirty-eight million, four hundred twenty-nine thousand, four hundred twenty-four".