38906976 has 48 divisors (see below), whose sum is σ = 104315904. Its totient is φ = 12691584.

The previous prime is 38906971. The next prime is 38906977. The reversal of 38906976 is 67960983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38906971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 8823.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248).

Almost surely, 2^38906976 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 38906976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157952).

38906976 is an abundant number, since it is smaller than the sum of its proper divisors (65408928).

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

38906976 is a wasteful number, since it uses less digits than its factorization.

38906976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 38906976 is about 6237.5456711755. The cubic root of 38906976 is about 338.8513022464.

The spelling of 38906976 in words is "thirty-eight million, nine hundred six thousand, nine hundred seventy-six".