38106576 has 60 divisors (see below), whose sum is σ = 108679428. Its totient is φ = 12460032.

The previous prime is 38106539. The next prime is 38106587. The reversal of 38106576 is 67560183.

38106576 is a `hidden beast` number, since 3 + 81 + 0 + 6 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20466576 + 17640000 = 4524^2 + 4200^2 .

It is a super-2 number, since 2×38106576² = 2904222268887552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38106576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5136 + ... + 10128.

Almost surely, 2^38106576 is an apocalyptic number.

38106576 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 38106576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54339714).

38106576 is an abundant number, since it is smaller than the sum of its proper divisors (70572852).

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

38106576 is a wasteful number, since it uses less digits than its factorization.

38106576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38106576 is about 6173.0524054150. The cubic root of 38106576 is about 336.5115507149.

The spelling of 38106576 in words is "thirty-eight million, one hundred six thousand, five hundred seventy-six".