38909376 has 224 divisors, whose sum is σ = 131673600. Its totient is φ = 11151360.

The previous prime is 38909363. The next prime is 38909407. The reversal of 38909376 is 67390983.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 437140 + ... + 437228.

Almost surely, 2^38909376 is an apocalyptic number.

38909376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

38909376 is an abundant number, since it is smaller than the sum of its proper divisors (92764224).

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

38909376 is a wasteful number, since it uses less digits than its factorization.

38909376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 38909376 is about 6237.7380515697. The cubic root of 38909376 is about 338.8582695180.

The spelling of 38909376 in words is "thirty-eight million, nine hundred nine thousand, three hundred seventy-six".