29380384 has 96 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 12038400.

The previous prime is 29380363. The next prime is 29380387. The reversal of 29380384 is 48308392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29380387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153729 + ... + 153919.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^29380384 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 29380384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

29380384 is an abundant number, since it is smaller than the sum of its proper divisors (40292576).

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

29380384 is a wasteful number, since it uses less digits than its factorization.

29380384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 29380384 is about 5420.3675152152. The cubic root of 29380384 is about 308.5691393781.

The spelling of 29380384 in words is "twenty-nine million, three hundred eighty thousand, three hundred eighty-four".