38725632 has 144 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 11673600.

The previous prime is 38725627. The next prime is 38725633. The reversal of 38725632 is 23652783.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is not an unprimeable number, because it can be changed into a prime (38725633) 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, 202657 + ... + 202847.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^38725632 is an apocalyptic number.

38725632 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 38725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

38725632 is an abundant number, since it is smaller than the sum of its proper divisors (83927808).

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

38725632 is a wasteful number, since it uses less digits than its factorization.

38725632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 38725632 is about 6222.9922063265. The cubic root of 38725632 is about 338.3240243232.

The spelling of 38725632 in words is "thirty-eight million, seven hundred twenty-five thousand, six hundred thirty-two".