38576032 has 48 divisors (see below), whose sum is σ = 85730400. Its totient is φ = 16925440.

The previous prime is 38575967. The next prime is 38576063. The reversal of 38576032 is 23067583.

It is a super-2 number, since 2×38576032² = 2976220489730048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8319 + ... + 12097.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 2^38576032 is an apocalyptic number.

38576032 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 38576032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42865200).

38576032 is an abundant number, since it is smaller than the sum of its proper divisors (47154368).

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

38576032 is a wasteful number, since it uses less digits than its factorization.

38576032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 38576032 is about 6210.9606342336. The cubic root of 38576032 is about 337.8878051583.

It can be divided in two parts, 3857 and 6032, that added together give a palindrome (9889).

The spelling of 38576032 in words is "thirty-eight million, five hundred seventy-six thousand, thirty-two".