38757840 has 160 divisors (see below), whose sum is σ = 134027136. Its totient is φ = 9185280.

The previous prime is 38757839. The next prime is 38757847. The reversal of 38757840 is 4875783.

38757840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38757840² = 3004340322931200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38757792 and 38757801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38757847) 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 31 ways as a sum of consecutive naturals, for example, 139782 + ... + 140058.

Almost surely, 2^38757840 is an apocalyptic number.

38757840 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 38757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67013568).

38757840 is an abundant number, since it is smaller than the sum of its proper divisors (95269296).

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

38757840 is a wasteful number, since it uses less digits than its factorization.

38757840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 38757840 is about 6225.5794910996. The cubic root of 38757840 is about 338.4177927145.

The spelling of 38757840 in words is "thirty-eight million, seven hundred fifty-seven thousand, eight hundred forty".