38162124 has 192 divisors, whose sum is σ = 133217280. Its totient is φ = 9123840.

The previous prime is 38162123. The next prime is 38162141. The reversal of 38162124 is 42126183.

38162124 is a `hidden beast` number, since 38 + 1 + 621 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38162123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107932 + ... + 108284.

It is an arithmetic number, because the mean of its divisors is an integer number (693840).

Almost surely, 2^38162124 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 38162124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66608640).

38162124 is an abundant number, since it is smaller than the sum of its proper divisors (95055156).

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

38162124 is a wasteful number, since it uses less digits than its factorization.

38162124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38162124 is about 6177.5499997977. The cubic root of 38162124 is about 336.6749824216.

The spelling of 38162124 in words is "thirty-eight million, one hundred sixty-two thousand, one hundred twenty-four".