38094960 has 80 divisors (see below), whose sum is σ = 125054496. Its totient is φ = 9560064.

The previous prime is 38094949. The next prime is 38094961. The reversal of 38094960 is 6949083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38094961) 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, 589 + ... + 8748.

Almost surely, 2^38094960 is an apocalyptic number.

38094960 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 38094960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62527248).

38094960 is an abundant number, since it is smaller than the sum of its proper divisors (86959536).

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

38094960 is a wasteful number, since it uses less digits than its factorization.

38094960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 38094960 is about 6172.1114701535. Note that the first 3 decimals coincide. The cubic root of 38094960 is about 336.4773543824.

The spelling of 38094960 in words is "thirty-eight million, ninety-four thousand, nine hundred sixty".