38536720 has 80 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 14515200.

The previous prime is 38536717. The next prime is 38536723. The reversal of 38536720 is 2763583.

It is an interprime number because it is at equal distance from previous prime (38536717) and next prime (38536723).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (38536723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101491 + ... + 101869.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^38536720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

38536720 is an abundant number, since it is smaller than the sum of its proper divisors (56457200).

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

38536720 is a wasteful number, since it uses less digits than its factorization.

38536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 38536720 is about 6207.7950997113. The cubic root of 38536720 is about 337.7729880951.

The spelling of 38536720 in words is "thirty-eight million, five hundred thirty-six thousand, seven hundred twenty".