38286976 has 128 divisors (see below), whose sum is σ = 99388800. Its totient is φ = 14266368.

The previous prime is 38286917. The next prime is 38287001. The reversal of 38286976 is 67968283.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221226 + ... + 221398.

It is an arithmetic number, because the mean of its divisors is an integer number (776475).

Almost surely, 2^38286976 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 38286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49694400).

38286976 is an abundant number, since it is smaller than the sum of its proper divisors (61101824).

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

38286976 is a wasteful number, since it uses less digits than its factorization.

38286976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 38286976 is about 6187.6470487577. The cubic root of 38286976 is about 337.0417403766.

The spelling of 38286976 in words is "thirty-eight million, two hundred eighty-six thousand, nine hundred seventy-six".