74136384 has 196 divisors, whose sum is σ = 253191264. Its totient is φ = 21088512.

The previous prime is 74136379. The next prime is 74136389. The reversal of 74136384 is 48363147.

74136384 is a `hidden beast` number, since 7 + 4 + 13 + 638 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (74136379) and next prime (74136389).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74136389) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326479 + ... + 326705.

Almost surely, 2^74136384 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 74136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126595632).

74136384 is an abundant number, since it is smaller than the sum of its proper divisors (179054880).

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

74136384 is an equidigital number, since it uses as much as digits as its factorization.

74136384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 74136384 is about 8610.2487768937. The cubic root of 74136384 is about 420.0914086758.

Subtracting from 74136384 its product of digits (48384), we obtain a cube (74088000 = 420³).

The spelling of 74136384 in words is "seventy-four million, one hundred thirty-six thousand, three hundred eighty-four".