34309440 has 336 divisors, whose sum is σ = 139354560. Its totient is φ = 7879680.

The previous prime is 34309439. The next prime is 34309453. The reversal of 34309440 is 4490343.

It is a super-2 number, since 2×34309440² = 2354275346227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1805751 + ... + 1805769.

Almost surely, 2^34309440 is an apocalyptic number.

34309440 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 34309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69677280).

34309440 is an abundant number, since it is smaller than the sum of its proper divisors (105045120).

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

34309440 is a wasteful number, since it uses less digits than its factorization.

34309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

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

The square root of 34309440 is about 5857.4260558713. The cubic root of 34309440 is about 324.9410228287.

Adding to 34309440 its reverse (4490343), we get a palindrome (38799783).

The spelling of 34309440 in words is "thirty-four million, three hundred nine thousand, four hundred forty".