38309376 has 120 divisors (see below), whose sum is σ = 118954440. Its totient is φ = 10924032.

The previous prime is 38309363. The next prime is 38309387. The reversal of 38309376 is 67390383.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75010 + ... + 75518.

It is an arithmetic number, because the mean of its divisors is an integer number (991287).

Almost surely, 2^38309376 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 38309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59477220).

38309376 is an abundant number, since it is smaller than the sum of its proper divisors (80645064).

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

38309376 is an equidigital number, since it uses as much as digits as its factorization.

38309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 38309376 is about 6189.4568420823. The cubic root of 38309376 is about 337.1074569197.

The spelling of 38309376 in words is "thirty-eight million, three hundred nine thousand, three hundred seventy-six".