38353032 has 48 divisors (see below), whose sum is σ = 105310140. Its totient is φ = 12607488.

The previous prime is 38353031. The next prime is 38353069. The reversal of 38353032 is 23035383.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38266596 + 86436 = 6186^2 + 294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38352987 and 38353005.

It is not an unprimeable number, because it can be changed into a prime (38353031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1608 + ... + 8904.

Almost surely, 2^38353032 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 38353032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52655070).

38353032 is an abundant number, since it is smaller than the sum of its proper divisors (66957108).

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

38353032 is a wasteful number, since it uses less digits than its factorization.

38353032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 38353032 is about 6192.9824801948. The cubic root of 38353032 is about 337.2354601919.

The spelling of 38353032 in words is "thirty-eight million, three hundred fifty-three thousand, thirty-two".