34123440 has 80 divisors (see below), whose sum is σ = 113930208. Its totient is φ = 8398848.

The previous prime is 34123423. The next prime is 34123447. The reversal of 34123440 is 4432143.

34123440 = T₉₉₂ + T₉₉₃ + ... + T₁₀₅₆.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (34123447) 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, 2349 + ... + 8588.

Almost surely, 2^34123440 is an apocalyptic number.

34123440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34123440 is an abundant number, since it is smaller than the sum of its proper divisors (79806768).

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

34123440 is a wasteful number, since it uses less digits than its factorization.

34123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34123440 is about 5841.5271975743. The cubic root of 34123440 is about 324.3527631669.

Adding to 34123440 its reverse (4432143), we get a palindrome (38555583).

The spelling of 34123440 in words is "thirty-four million, one hundred twenty-three thousand, four hundred forty".