38133756 has 18 divisors (see below), whose sum is σ = 96393752. Its totient is φ = 12711240.

The previous prime is 38133749. The next prime is 38133757. The reversal of 38133756 is 65733183.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1059271 = 38133756 / (3 + 8 + 1 + 3 + 3 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 38133756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38133757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 529600 + ... + 529671.

Almost surely, 2^38133756 is an apocalyptic number.

38133756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38133756 is an abundant number, since it is smaller than the sum of its proper divisors (58259996).

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

38133756 is a wasteful number, since it uses less digits than its factorization.

38133756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059281 (or 1059276 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 38133756 is about 6175.2535170631. The cubic root of 38133756 is about 336.5915387483.

It can be divided in two parts, 3813 and 3756, that added together give a square (7569 = 87²).

The spelling of 38133756 in words is "thirty-eight million, one hundred thirty-three thousand, seven hundred fifty-six".