34677440 has 112 divisors (see below), whose sum is σ = 95902272. Its totient is φ = 11698176.

The previous prime is 34677439. The next prime is 34677443. The reversal of 34677440 is 4477643.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34677440.

It is not an unprimeable number, because it can be changed into a prime (34677443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253052 + ... + 253188.

Almost surely, 2^34677440 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 34677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47951136).

34677440 is an abundant number, since it is smaller than the sum of its proper divisors (61224832).

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

34677440 is a wasteful number, since it uses less digits than its factorization.

34677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The square root of 34677440 is about 5888.7553863274. The cubic root of 34677440 is about 326.0986565799.

The spelling of 34677440 in words is "thirty-four million, six hundred seventy-seven thousand, four hundred forty".