38976480 has 72 divisors (see below), whose sum is σ = 133012152. Its totient is φ = 10393344.

The previous prime is 38976479. The next prime is 38976481. The reversal of 38976480 is 8467983.

It is a happy number.

38976480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38976479) and next prime (38976481).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38976481) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12094 + ... + 14973.

It is an arithmetic number, because the mean of its divisors is an integer number (1847391).

Almost surely, 2^38976480 is an apocalyptic number.

38976480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38976480 is an abundant number, since it is smaller than the sum of its proper divisors (94035672).

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

38976480 is a wasteful number, since it uses less digits than its factorization.

38976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27088 (or 27077 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38976480 is about 6243.1146073094. The cubic root of 38976480 is about 339.0529585471.

The spelling of 38976480 in words is "thirty-eight million, nine hundred seventy-six thousand, four hundred eighty".