38487720 has 64 divisors (see below), whose sum is σ = 115920000. Its totient is φ = 10222848.

The previous prime is 38487707. The next prime is 38487721. The reversal of 38487720 is 2778483.

It is not an unprimeable number, because it can be changed into a prime (38487721) 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 15 ways as a sum of consecutive naturals, for example, 41421 + ... + 42339.

It is an arithmetic number, because the mean of its divisors is an integer number (1811250).

Almost surely, 2^38487720 is an apocalyptic number.

38487720 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 38487720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960000).

38487720 is an abundant number, since it is smaller than the sum of its proper divisors (77432280).

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

38487720 is a wasteful number, since it uses less digits than its factorization.

38487720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 38487720 is about 6203.8471934760. The cubic root of 38487720 is about 337.6297662860.

The spelling of 38487720 in words is "thirty-eight million, four hundred eighty-seven thousand, seven hundred twenty".