38960976 has 40 divisors (see below), whose sum is σ = 102037120. Its totient is φ = 12807936.

The previous prime is 38960959. The next prime is 38961031. The reversal of 38960976 is 67906983.

It is a happy number.

38960976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38960976³ (a number of 24 digits) contains 333 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 2056 + ... + 9063.

It is an arithmetic number, because the mean of its divisors is an integer number (2550928).

Almost surely, 2^38960976 is an apocalyptic number.

It is an amenable number.

38960976 is an abundant number, since it is smaller than the sum of its proper divisors (63076144).

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

38960976 is a wasteful number, since it uses less digits than its factorization.

38960976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203 (or 11197 counting only the distinct ones).

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

The square root of 38960976 is about 6241.8727958843. The cubic root of 38960976 is about 339.0079966092.

The spelling of 38960976 in words is "thirty-eight million, nine hundred sixty thousand, nine hundred seventy-six".