38142624 has 72 divisors (see below), whose sum is σ = 108464832. Its totient is φ = 11731200.

The previous prime is 38142619. The next prime is 38142647. The reversal of 38142624 is 42624183.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38142591 and 38142600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15049 + ... + 17399.

It is an arithmetic number, because the mean of its divisors is an integer number (1506456).

Almost surely, 2^38142624 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 38142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54232416).

38142624 is an abundant number, since it is smaller than the sum of its proper divisors (70322208).

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

38142624 is a wasteful number, since it uses less digits than its factorization.

38142624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2369 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 38142624 is about 6175.9715025249. The cubic root of 38142624 is about 336.6176281655.

The spelling of 38142624 in words is "thirty-eight million, one hundred forty-two thousand, six hundred twenty-four".