34400340 has 144 divisors (see below), whose sum is σ = 114690576. Its totient is φ = 8294400.

The previous prime is 34400329. The next prime is 34400347. The reversal of 34400340 is 4300443.

It can be written as a sum of positive squares in 8 ways, for example, as 6140484 + 28259856 = 2478^2 + 5316^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142620 + ... + 142860.

Almost surely, 2^34400340 is an apocalyptic number.

34400340 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 34400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57345288).

34400340 is an abundant number, since it is smaller than the sum of its proper divisors (80290236).

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

34400340 is a wasteful number, since it uses less digits than its factorization.

34400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34400340 is about 5865.1803041339. The cubic root of 34400340 is about 325.2277378155.

Adding to 34400340 its reverse (4300443), we get a palindrome (38700783).

The spelling of 34400340 in words is "thirty-four million, four hundred thousand, three hundred forty".