38301984 has 120 divisors (see below), whose sum is σ = 128798208. Its totient is φ = 10938240.

The previous prime is 38301983. The next prime is 38301997. The reversal of 38301984 is 48910383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38301983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17089 + ... + 19199.

Almost surely, 2^38301984 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 38301984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64399104).

38301984 is an abundant number, since it is smaller than the sum of its proper divisors (90496224).

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

38301984 is a wasteful number, since it uses less digits than its factorization.

38301984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38301984 is about 6188.8596687920. The cubic root of 38301984 is about 337.0857732931.

The spelling of 38301984 in words is "thirty-eight million, three hundred one thousand, nine hundred eighty-four".