38526840 has 320 divisors, whose sum is σ = 150543360. Its totient is φ = 8743680.

The previous prime is 38526827. The next prime is 38526869. The reversal of 38526840 is 4862583.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 38526795 and 38526804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819697 + ... + 819743.

It is an arithmetic number, because the mean of its divisors is an integer number (470448).

It is a vampire number, since it can be written as 4653 ⋅ 8280 (with its own digits).

Almost surely, 2^38526840 is an apocalyptic number.

38526840 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 38526840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271680).

38526840 is an abundant number, since it is smaller than the sum of its proper divisors (112016520).

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

38526840 is a wasteful number, since it uses less digits than its factorization.

38526840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38526840 is about 6206.9992750120. Note that the first 3 decimals coincide. The cubic root of 38526840 is about 337.7441196777.

It can be divided in two parts, 385 and 26840, that added together give a square (27225 = 165²).

The spelling of 38526840 in words is "thirty-eight million, five hundred twenty-six thousand, eight hundred forty".