38706864 has 80 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 11054400.

The previous prime is 38706859. The next prime is 38706869. The reversal of 38706864 is 46860783.

38706864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38706859) and next prime (38706869).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38706869) 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, 15289 + ... + 17639.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^38706864 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 38706864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

38706864 is an abundant number, since it is smaller than the sum of its proper divisors (77952336).

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

38706864 is a wasteful number, since it uses less digits than its factorization.

38706864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 38706864 is about 6221.4840673267. The cubic root of 38706864 is about 338.2693603448.

The spelling of 38706864 in words is "thirty-eight million, seven hundred six thousand, eight hundred sixty-four".