38419752 has 128 divisors (see below), whose sum is σ = 117135360. Its totient is φ = 10264320.

The previous prime is 38419723. The next prime is 38419763. The reversal of 38419752 is 25791483.

It is a self number, because there is not a number n which added to its sum of digits gives 38419752.

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 31 ways as a sum of consecutive naturals, for example, 235623 + ... + 235785.

It is an arithmetic number, because the mean of its divisors is an integer number (915120).

Almost surely, 2^38419752 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 38419752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58567680).

38419752 is an abundant number, since it is smaller than the sum of its proper divisors (78715608).

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

38419752 is a wasteful number, since it uses less digits than its factorization.

38419752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 38419752 is about 6198.3668816875. The cubic root of 38419752 is about 337.4309016291.

The spelling of 38419752 in words is "thirty-eight million, four hundred nineteen thousand, seven hundred fifty-two".