34093440 has 128 divisors (see below), whose sum is σ = 120808800. Its totient is φ = 9086976.

The previous prime is 34093439. The next prime is 34093441. The reversal of 34093440 is 4439043.

It is an interprime number because it is at equal distance from previous prime (34093439) and next prime (34093441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34093441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16294 + ... + 18266.

Almost surely, 2^34093440 is an apocalyptic number.

34093440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60404400).

34093440 is an abundant number, since it is smaller than the sum of its proper divisors (86715360).

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

34093440 is a wasteful number, since it uses less digits than its factorization.

34093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34093440 is about 5838.9588112950. The cubic root of 34093440 is about 324.2576825237.

The spelling of 34093440 in words is "thirty-four million, ninety-three thousand, four hundred forty".