34380024 has 64 divisors (see below), whose sum is σ = 99152640. Its totient is φ = 9730560.

The previous prime is 34380019. The next prime is 34380053. The reversal of 34380024 is 42008343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34379976 and 34380003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18079 + ... + 19889.

It is an arithmetic number, because the mean of its divisors is an integer number (1549260).

Almost surely, 2^34380024 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 34380024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49576320).

34380024 is an abundant number, since it is smaller than the sum of its proper divisors (64772616).

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

34380024 is a wasteful number, since it uses less digits than its factorization.

34380024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34380024 is about 5863.4481322853. The cubic root of 34380024 is about 325.1637013568.

Adding to 34380024 its reverse (42008343), we get a palindrome (76388367).

The spelling of 34380024 in words is "thirty-four million, three hundred eighty thousand, twenty-four".