38293632 has 96 divisors (see below), whose sum is σ = 118716780. Its totient is φ = 11778048.

The previous prime is 38293621. The next prime is 38293663. The reversal of 38293632 is 23639283.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 2005056 = 6024^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13698 + ... + 16254.

Almost surely, 2^38293632 is an apocalyptic number.

38293632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38293632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59358390).

38293632 is an abundant number, since it is smaller than the sum of its proper divisors (80423148).

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

38293632 is a wasteful number, since it uses less digits than its factorization.

38293632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2575 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 38293632 is about 6188.1848711880. The cubic root of 38293632 is about 337.0612702540.

The spelling of 38293632 in words is "thirty-eight million, two hundred ninety-three thousand, six hundred thirty-two".