38966904 has 48 divisors (see below), whose sum is σ = 107335800. Its totient is φ = 12767424.

The previous prime is 38966903. The next prime is 38966951. The reversal of 38966904 is 40966983.

It is a super-3 number, since 3×38966904³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38966904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38966903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339 + ... + 8834.

Almost surely, 2^38966904 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 38966904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53667900).

38966904 is an abundant number, since it is smaller than the sum of its proper divisors (68368896).

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

38966904 is a wasteful number, since it uses less digits than its factorization.

38966904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 38966904 is about 6242.3476353052. The cubic root of 38966904 is about 339.0251893466.

The spelling of 38966904 in words is "thirty-eight million, nine hundred sixty-six thousand, nine hundred four".