38214384 has 80 divisors (see below), whose sum is σ = 108659712. Its totient is φ = 11499264.

The previous prime is 38214361. The next prime is 38214467. The reversal of 38214384 is 48341283.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28677 + ... + 29979.

Almost surely, 2^38214384 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 38214384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54329856).

38214384 is an abundant number, since it is smaller than the sum of its proper divisors (70445328).

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

38214384 is a wasteful number, since it uses less digits than its factorization.

38214384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 38214384 is about 6181.7783848986. The cubic root of 38214384 is about 336.8285955451.

The spelling of 38214384 in words is "thirty-eight million, two hundred fourteen thousand, three hundred eighty-four".