38745040 has 80 divisors (see below), whose sum is σ = 98565120. Its totient is φ = 14100480.

The previous prime is 38745029. The next prime is 38745043. The reversal of 38745040 is 4054783.

38745040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 38744993 and 38745011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38745043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41701 + ... + 42619.

It is an arithmetic number, because the mean of its divisors is an integer number (1232064).

Almost surely, 2^38745040 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 38745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282560).

38745040 is an abundant number, since it is smaller than the sum of its proper divisors (59820080).

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

38745040 is a wasteful number, since it uses less digits than its factorization.

38745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 38745040 is about 6224.5513894577. The cubic root of 38745040 is about 338.3805338038.

The spelling of 38745040 in words is "thirty-eight million, seven hundred forty-five thousand, forty".