38672688 has 80 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 11965440.

The previous prime is 38672687. The next prime is 38672731. The reversal of 38672688 is 88627683.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (38672687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67443 + ... + 68013.

Almost surely, 2^38672688 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 38672688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

38672688 is an abundant number, since it is smaller than the sum of its proper divisors (68570448).

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

38672688 is a wasteful number, since it uses less digits than its factorization.

38672688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 38672688 is about 6218.7368492323. The cubic root of 38672688 is about 338.1697733757.

It can be divided in two parts, 3867 and 2688, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 38672688 in words is "thirty-eight million, six hundred seventy-two thousand, six hundred eighty-eight".