38533104 has 80 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 12749760.

The previous prime is 38533097. The next prime is 38533111. The reversal of 38533104 is 40133583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38533097) and next prime (38533111).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82279 + ... + 82745.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^38533104 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 38533104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

38533104 is an abundant number, since it is smaller than the sum of its proper divisors (72888336).

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

38533104 is a wasteful number, since it uses less digits than its factorization.

38533104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 38533104 is about 6207.5038461527. The cubic root of 38533104 is about 337.7624230606.

Adding to 38533104 its reverse (40133583), we get a palindrome (78666687).

It can be divided in two parts, 385 and 33104, that added together give a square (33489 = 183²).

The spelling of 38533104 in words is "thirty-eight million, five hundred thirty-three thousand, one hundred four".