34714008 has 96 divisors (see below), whose sum is σ = 111471360. Its totient is φ = 9914400.

The previous prime is 34713997. The next prime is 34714021. The reversal of 34714008 is 80041743.

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 23 ways as a sum of consecutive naturals, for example, 12333 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (1161160).

Almost surely, 2^34714008 is an apocalyptic number.

34714008 is the 3402-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34714008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55735680).

34714008 is an abundant number, since it is smaller than the sum of its proper divisors (76757352).

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

34714008 is a wasteful number, since it uses less digits than its factorization.

34714008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34714008 is about 5891.8594687925. The cubic root of 34714008 is about 326.2132419942.

The spelling of 34714008 in words is "thirty-four million, seven hundred fourteen thousand, eight".