38020752 has 240 divisors, whose sum is σ = 138657792. Its totient is φ = 9797760.

The previous prime is 38020747. The next prime is 38020753. The reversal of 38020752 is 25702083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38020753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299313 + ... + 299439.

Almost surely, 2^38020752 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 38020752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69328896).

38020752 is an abundant number, since it is smaller than the sum of its proper divisors (100637040).

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

38020752 is a wasteful number, since it uses less digits than its factorization.

38020752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38020752 is about 6166.0969826950. The cubic root of 38020752 is about 336.2587292916.

The spelling of 38020752 in words is "thirty-eight million, twenty thousand, seven hundred fifty-two".