38429440 has 72 divisors (see below), whose sum is σ = 105225120. Its totient is φ = 13172736.

The previous prime is 38429387. The next prime is 38429441. The reversal of 38429440 is 4492483.

It is a junction number, because it is equal to n+sod(n) for n = 38429396 and 38429405.

It is not an unprimeable number, because it can be changed into a prime (38429441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6816 + ... + 11104.

It is an arithmetic number, because the mean of its divisors is an integer number (1461460).

Almost surely, 2^38429440 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 38429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52612560).

38429440 is an abundant number, since it is smaller than the sum of its proper divisors (66795680).

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

38429440 is an equidigital number, since it uses as much as digits as its factorization.

38429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 38429440 is about 6199.1483286013. The cubic root of 38429440 is about 337.4592616580.

The spelling of 38429440 in words is "thirty-eight million, four hundred twenty-nine thousand, four hundred forty".