38006920 has 64 divisors (see below), whose sum is σ = 98496000. Its totient is φ = 12929280.

The previous prime is 38006869. The next prime is 38006921. The reversal of 38006920 is 2960083.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (38006921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41265 + ... + 42175.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2^38006920 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 38006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49248000).

38006920 is an abundant number, since it is smaller than the sum of its proper divisors (60489080).

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

38006920 is a wasteful number, since it uses less digits than its factorization.

38006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 38006920 is about 6164.9752635351. The cubic root of 38006920 is about 336.2179472218.

The spelling of 38006920 in words is "thirty-eight million, six thousand, nine hundred twenty".