38532480 has 256 divisors, whose sum is σ = 145704960. Its totient is φ = 8478720.

The previous prime is 38532469. The next prime is 38532493. The reversal of 38532480 is 8423583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631650 + ... + 631710.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 2^38532480 is an apocalyptic number.

38532480 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 38532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72852480).

38532480 is an abundant number, since it is smaller than the sum of its proper divisors (107172480).

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

38532480 is a wasteful number, since it uses less digits than its factorization.

38532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 38532480 is about 6207.4535842002. The cubic root of 38532480 is about 337.7605998241.

The spelling of 38532480 in words is "thirty-eight million, five hundred thirty-two thousand, four hundred eighty".