34377696 has 72 divisors (see below), whose sum is σ = 101405304. Its totient is φ = 11456640.

The previous prime is 34377691. The next prime is 34377701. The reversal of 34377696 is 69677343.

It is an interprime number because it is at equal distance from previous prime (34377691) and next prime (34377701).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34377691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5566 + ... + 9986.

It is an arithmetic number, because the mean of its divisors is an integer number (1408407).

Almost surely, 2^34377696 is an apocalyptic number.

34377696 is a gapful number since it is divisible by the number (36) 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 34377696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50702652).

34377696 is an abundant number, since it is smaller than the sum of its proper divisors (67027608).

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

34377696 is an equidigital number, since it uses as much as digits as its factorization.

34377696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4426 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 34377696 is about 5863.2496109240. The cubic root of 34377696 is about 325.1563618410.

The spelling of 34377696 in words is "thirty-four million, three hundred seventy-seven thousand, six hundred ninety-six".