38946096 has 180 divisors, whose sum is σ = 131790672. Its totient is φ = 10917504.

The previous prime is 38946041. The next prime is 38946119. The reversal of 38946096 is 69064983.

38946096 is a `hidden beast` number, since 38 + 9 + 4 + 609 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734806 + ... + 734858.

Almost surely, 2^38946096 is an apocalyptic number.

38946096 is a gapful number since it is divisible by the number (36) 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 38946096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65895336).

38946096 is an abundant number, since it is smaller than the sum of its proper divisors (92844576).

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

38946096 is an frugal number, since it uses more digits than its factorization.

38946096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

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

The square root of 38946096 is about 6240.6807320997. The cubic root of 38946096 is about 338.9648330659.

The spelling of 38946096 in words is "thirty-eight million, nine hundred forty-six thousand, ninety-six".