38501632 has 72 divisors (see below), whose sum is σ = 86534784. Its totient is φ = 16963584.

The previous prime is 38501629. The next prime is 38501633. The reversal of 38501632 is 23610583.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38501632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38501633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76293 + ... + 76795.

It is an arithmetic number, because the mean of its divisors is an integer number (1201872).

Almost surely, 2^38501632 is an apocalyptic number.

38501632 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 38501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43267392).

38501632 is an abundant number, since it is smaller than the sum of its proper divisors (48033152).

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

38501632 is a wasteful number, since it uses less digits than its factorization.

38501632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 38501632 is about 6204.9683319095. The cubic root of 38501632 is about 337.6704419394.

The spelling of 38501632 in words is "thirty-eight million, five hundred one thousand, six hundred thirty-two".