34714656 has 120 divisors (see below), whose sum is σ = 104282640. Its totient is φ = 11325312.

The previous prime is 34714649. The next prime is 34714679. The reversal of 34714656 is 65641743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34714656.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152815 + ... + 153041.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2^34714656 is an apocalyptic number.

34714656 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 34714656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52141320).

34714656 is an abundant number, since it is smaller than the sum of its proper divisors (69567984).

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

34714656 is a wasteful number, since it uses less digits than its factorization.

34714656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 34714656 is about 5891.9144596642. The cubic root of 34714656 is about 326.2152717691.

The spelling of 34714656 in words is "thirty-four million, seven hundred fourteen thousand, six hundred fifty-six".