38725440 has 224 divisors, whose sum is σ = 138257280. Its totient is φ = 9117696.

The previous prime is 38725403. The next prime is 38725447. The reversal of 38725440 is 4452783.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38725447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361867 + ... + 361973.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 2^38725440 is an apocalyptic number.

38725440 is a gapful number since it is divisible by the number (30) 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 38725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

38725440 is an abundant number, since it is smaller than the sum of its proper divisors (99531840).

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

38725440 is a wasteful number, since it uses less digits than its factorization.

38725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 38725440 is about 6222.9767796449. The cubic root of 38725440 is about 338.3234651903.

The spelling of 38725440 in words is "thirty-eight million, seven hundred twenty-five thousand, four hundred forty".