38106432 has 168 divisors, whose sum is σ = 134615936. Its totient is φ = 10036224.

The previous prime is 38106427. The next prime is 38106437. The reversal of 38106432 is 23460183.

It is a happy number.

38106432 is a `hidden beast` number, since 3 + 8 + 10 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (38106427) and next prime (38106437).

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 38106396 and 38106405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38106437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52053 + ... + 52779.

Almost surely, 2^38106432 is an apocalyptic number.

38106432 is a gapful number since it is divisible by the number (32) 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 38106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67307968).

38106432 is an abundant number, since it is smaller than the sum of its proper divisors (96509504).

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

38106432 is a wasteful number, since it uses less digits than its factorization.

38106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38106432 is about 6173.0407418063. The cubic root of 38106432 is about 336.5111268360.

The spelling of 38106432 in words is "thirty-eight million, one hundred six thousand, four hundred thirty-two".