38132976 has 120 divisors (see below), whose sum is σ = 118516224. Its totient is φ = 10523520.

The previous prime is 38132957. The next prime is 38133031. The reversal of 38132976 is 67923183.

38132976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72651 + ... + 73173.

Almost surely, 2^38132976 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 38132976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59258112).

38132976 is an abundant number, since it is smaller than the sum of its proper divisors (80383248).

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

38132976 is a wasteful number, since it uses less digits than its factorization.

38132976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 38132976 is about 6175.1903614383. The cubic root of 38132976 is about 336.5892438158.

The spelling of 38132976 in words is "thirty-eight million, one hundred thirty-two thousand, nine hundred seventy-six".