38806440 has 64 divisors (see below), whose sum is σ = 116890560. Its totient is φ = 10306560.

The previous prime is 38806433. The next prime is 38806447. The reversal of 38806440 is 4460883.

It is an interprime number because it is at equal distance from previous prime (38806433) and next prime (38806447).

It is not an unprimeable number, because it can be changed into a prime (38806447) 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, 39232 + ... + 40208.

It is an arithmetic number, because the mean of its divisors is an integer number (1826415).

Almost surely, 2^38806440 is an apocalyptic number.

38806440 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 38806440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58445280).

38806440 is an abundant number, since it is smaller than the sum of its proper divisors (78084120).

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

38806440 is a wasteful number, since it uses less digits than its factorization.

38806440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38806440 is about 6229.4815193562. The cubic root of 38806440 is about 338.5591854834.

The spelling of 38806440 in words is "thirty-eight million, eight hundred six thousand, four hundred forty".