39106368 has 224 divisors, whose sum is σ = 136062720. Its totient is φ = 10782720.

The previous prime is 39106337. The next prime is 39106381. The reversal of 39106368 is 86360193.

It is a happy number.

39106368 is a `hidden beast` number, since 3 + 9 + 10 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-6 number, since 6×39106368⁶ (a number of 47 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641058 + ... + 641118.

Almost surely, 2^39106368 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 39106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68031360).

39106368 is an abundant number, since it is smaller than the sum of its proper divisors (96956352).

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

39106368 is a wasteful number, since it uses less digits than its factorization.

39106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 39106368 is about 6253.5084552593. The cubic root of 39106368 is about 339.4291690342.

The spelling of 39106368 in words is "thirty-nine million, one hundred six thousand, three hundred sixty-eight".