40038768 has 240 divisors, whose sum is σ = 146704896. Its totient is φ = 9884160.

The previous prime is 40038749. The next prime is 40038769. The reversal of 40038768 is 86783004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40038769) 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, 254946 + ... + 255102.

Almost surely, 2^40038768 is an apocalyptic number.

40038768 is a gapful number since it is divisible by the number (48) 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 40038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352448).

40038768 is an abundant number, since it is smaller than the sum of its proper divisors (106666128).

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

40038768 is a wasteful number, since it uses less digits than its factorization.

40038768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

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

The square root of 40038768 is about 6327.6194575843. The cubic root of 40038768 is about 342.1056409056.

The spelling of 40038768 in words is "forty million, thirty-eight thousand, seven hundred sixty-eight".