38627040 has 48 divisors (see below), whose sum is σ = 121676688. Its totient is φ = 10300416.

The previous prime is 38627027. The next prime is 38627059. The reversal of 38627040 is 4072683.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 38626989 and 38627007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39757 + ... + 40716.

It is an arithmetic number, because the mean of its divisors is an integer number (2534931).

Almost surely, 2^38627040 is an apocalyptic number.

38627040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38627040 is an abundant number, since it is smaller than the sum of its proper divisors (83049648).

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

38627040 is a wasteful number, since it uses less digits than its factorization.

38627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80491 (or 80483 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38627040 is about 6215.0655668303. The cubic root of 38627040 is about 338.0366660736.

The spelling of 38627040 in words is "thirty-eight million, six hundred twenty-seven thousand, forty".