38736288 has 72 divisors (see below), whose sum is σ = 115970400. Its totient is φ = 12230784.

The previous prime is 38736283. The next prime is 38736293. The reversal of 38736288 is 88263783.

It is an interprime number because it is at equal distance from previous prime (38736283) and next prime (38736293).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38736283) 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, 1933 + ... + 9011.

It is an arithmetic number, because the mean of its divisors is an integer number (1610700).

Almost surely, 2^38736288 is an apocalyptic number.

38736288 is a gapful number since it is divisible by the number (38) 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 38736288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985200).

38736288 is an abundant number, since it is smaller than the sum of its proper divisors (77234112).

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

38736288 is a wasteful number, since it uses less digits than its factorization.

38736288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114 (or 7103 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38736288 is about 6223.8483272008. The cubic root of 38736288 is about 338.3550532997.

The spelling of 38736288 in words is "thirty-eight million, seven hundred thirty-six thousand, two hundred eighty-eight".