38813040 has 320 divisors, whose sum is σ = 162846720. Its totient is φ = 8294400.

The previous prime is 38813017. The next prime is 38813077. The reversal of 38813040 is 4031883.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38812995 and 38813013.

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 63 ways as a sum of consecutive naturals, for example, 256965 + ... + 257115.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^38813040 is an apocalyptic number.

38813040 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 38813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

38813040 is an abundant number, since it is smaller than the sum of its proper divisors (124033680).

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

38813040 is a wasteful number, since it uses less digits than its factorization.

38813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38813040 is about 6230.0112359449. The cubic root of 38813040 is about 338.5783778645.

The spelling of 38813040 in words is "thirty-eight million, eight hundred thirteen thousand, forty".