38106960 has 80 divisors (see below), whose sum is σ = 119617344. Its totient is φ = 10034176.

The previous prime is 38106953. The next prime is 38106977. The reversal of 38106960 is 6960183.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18964 + ... + 20876.

Almost surely, 2^38106960 is an apocalyptic number.

38106960 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 38106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59808672).

38106960 is an abundant number, since it is smaller than the sum of its proper divisors (81510384).

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

38106960 is a wasteful number, since it uses less digits than its factorization.

38106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 38106960 is about 6173.0835082639. The cubic root of 38106960 is about 336.5126810535.

The spelling of 38106960 in words is "thirty-eight million, one hundred six thousand, nine hundred sixty".