38778768 has 240 divisors, whose sum is σ = 137419776. Its totient is φ = 9953280.

The previous prime is 38778767. The next prime is 38778769. The reversal of 38778768 is 86787783.

It is an interprime number because it is at equal distance from previous prime (38778767) and next prime (38778769).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38778767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531180 + ... + 531252.

Almost surely, 2^38778768 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 38778768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68709888).

38778768 is an abundant number, since it is smaller than the sum of its proper divisors (98641008).

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

38778768 is a wasteful number, since it uses less digits than its factorization.

38778768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 38778768 is about 6227.2600716527. The cubic root of 38778768 is about 338.4786933666.

The spelling of 38778768 in words is "thirty-eight million, seven hundred seventy-eight thousand, seven hundred sixty-eight".