38133732 has 96 divisors (see below), whose sum is σ = 111992832. Its totient is φ = 9830016.

The previous prime is 38133713. The next prime is 38133743. The reversal of 38133732 is 23733183.

It is a self number, because there is not a number n which added to its sum of digits gives 38133732.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50953 + ... + 51695.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^38133732 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 38133732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55996416).

38133732 is an abundant number, since it is smaller than the sum of its proper divisors (73859100).

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

38133732 is a wasteful number, since it uses less digits than its factorization.

38133732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 38133732 is about 6175.2515738227. The cubic root of 38133732 is about 336.5914681354.

The spelling of 38133732 in words is "thirty-eight million, one hundred thirty-three thousand, seven hundred thirty-two".