34077344 has 72 divisors (see below), whose sum is σ = 79174368. Its totient is φ = 14394240.

The previous prime is 34077341. The next prime is 34077347. The reversal of 34077344 is 44377043.

It is an interprime number because it is at equal distance from previous prime (34077341) and next prime (34077347).

It is a super-2 number, since 2×34077344² = 2322530748188672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34077344.

It is not an unprimeable number, because it can be changed into a prime (34077341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161399 + ... + 161609.

It is an arithmetic number, because the mean of its divisors is an integer number (1099644).

Almost surely, 2^34077344 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 34077344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39587184).

34077344 is an abundant number, since it is smaller than the sum of its proper divisors (45097024).

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

34077344 is a wasteful number, since it uses less digits than its factorization.

34077344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The square root of 34077344 is about 5837.5803206466. The cubic root of 34077344 is about 324.2066455966.

The spelling of 34077344 in words is "thirty-four million, seventy-seven thousand, three hundred forty-four".