38678640 has 480 divisors, whose sum is σ = 170989056. Its totient is φ = 7096320.

The previous prime is 38678611. The next prime is 38678641. The reversal of 38678640 is 4687683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38678592 and 38678601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38678641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1681669 + ... + 1681691.

Almost surely, 2^38678640 is an apocalyptic number.

38678640 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 38678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

38678640 is an abundant number, since it is smaller than the sum of its proper divisors (132310416).

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

38678640 is a wasteful number, since it uses less digits than its factorization.

38678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 38678640 is about 6219.2153845964. The cubic root of 38678640 is about 338.1871213917.

The spelling of 38678640 in words is "thirty-eight million, six hundred seventy-eight thousand, six hundred forty".