38275840 has 72 divisors (see below), whose sum is σ = 97130880. Its totient is φ = 14401536.

The previous prime is 38275819. The next prime is 38275879. The reversal of 38275840 is 4857283.

It is a super-3 number, since 3×38275840³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38275840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20881 + ... + 22639.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040).

Almost surely, 2^38275840 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 38275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565440).

38275840 is an abundant number, since it is smaller than the sum of its proper divisors (58855040).

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

38275840 is a wasteful number, since it uses less digits than its factorization.

38275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 38275840 is about 6186.7471259136. The cubic root of 38275840 is about 337.0090603275.

The spelling of 38275840 in words is "thirty-eight million, two hundred seventy-five thousand, eight hundred forty".