38701632 has 84 divisors (see below), whose sum is σ = 108844080. Its totient is φ = 12102912.

The previous prime is 38701627. The next prime is 38701643. The reversal of 38701632 is 23610783.

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 38701632.

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, 375693 + ... + 375795.

Almost surely, 2^38701632 is an apocalyptic number.

38701632 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 38701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54422040).

38701632 is an abundant number, since it is smaller than the sum of its proper divisors (70142448).

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

38701632 is a wasteful number, since it uses less digits than its factorization.

38701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 38701632 is about 6221.0635746631. The cubic root of 38701632 is about 338.2541183880.

The spelling of 38701632 in words is "thirty-eight million, seven hundred one thousand, six hundred thirty-two".