38678040 has 128 divisors (see below), whose sum is σ = 131328000. Its totient is φ = 10122624.

The previous prime is 38678033. The next prime is 38678063. The reversal of 38678040 is 4087683.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38677986 and 38678004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63417 + ... + 64023.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 2^38678040 is an apocalyptic number.

38678040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38678040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664000).

38678040 is an abundant number, since it is smaller than the sum of its proper divisors (92649960).

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

38678040 is a wasteful number, since it uses less digits than its factorization.

38678040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38678040 is about 6219.1671468131. The cubic root of 38678040 is about 338.1853726805.

The spelling of 38678040 in words is "thirty-eight million, six hundred seventy-eight thousand, forty".